{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy.stats\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df2 = pd.read_csv(\"../../target/mv_gaussian_noise.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "points2 = df2[df2[\"class\"]==\"A\"]\n",
    "noise2 = df2[df2[\"class\"]==\"B\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x110c99588>"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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vBtmWVL7J4UDrEasQBrFnvOaeW1J1+hg1it1uJWCQyGdCXEe6jRSXnjuv/GyK\n5PHpT7+G1atP5gMfmJtNNJY0Meg2pv32m8Gxx76e9vZkS8SG3DG5jvC6ZjpR/no8lwWCatY8J71L\nDG6rARc2o3/L1j+a2NLp8hxzzoutFs48znmaR35pxzNu6wJ3G7mOYDfGa6wjvMx1F7asyZjnwJYc\nTGtjc7Wbq86xlV9nZ5EFC97M9OkdaTBjTxPWC42pr6/Erbc+nSusx/Y6JpsnGvB4HJPNc6/b65jz\ncLGNh/yyJn/5cIwsUnHeOhqnqThW/fmh5cMxmvLr7y9z221Pj6j9hk0TM9369IMf3M8rX3lRwgWc\nrSdyR1tN8tLXbZ79SfNtqpU/nb4RjlrYamGoxx8ZNnFgS+pxh4OtHg4XL6/8atmY5pVf/T4RRXCw\nea14XrFaj5m9duB5rRjVQ6QCKIT5paqmMBYEES/iS7Us82nF6G29almmbsngEGlJ8YLU/QRER3vt\ne4VBzHHmKJ0SHe1NtluQkUG2jbK82tGOs3nS8gsC5QtfuJW9976MFSteYFypiQfdprBeOPvs3/DS\nS0kv+fYyKb1kcvHSv+vxGl2rtVzLi6OW1yporAurda3e/dbGpg5sWd5QsdXDkR9bNk88W4rWfZEv\nBdsSoDZGN44WoIBqpM+NluhFVKMlfBQY1WxoGflF9rotFg4/HBwnW7w+jJ7Vdj5TxOh7I94MVF8M\ncUQOciIcRr+qOinEMRCmi7CVMJtwfYBWTcdie90gxBkN6CVn21B1x+iFeRq1W1h6zWjH2Tyu2W5P\nzyA9PYN873v389rXviJzfcxoO3kQy0NNMeiONrl0rXnS5Mk3Uhx/i9hGm5J6SqmXNJXPhS3aoLLL\nM5YGMfmYp9TmFcPy1MrXgsgOKWzxZlrEE2lB1X60PEQmkQxKaeeJ08Vey2wyA279e60gojnkl00z\nHn3L9dIcU2rika0p1Au77jqFzs74JI87+GOWV2tZFHk/qkeuGF3pfPWCULqxJctzbfLkcfFXK36Y\nG1uWZ2+G1MLmaqNG2Fz57GVoXKerjbK82vIrYwIxRp/Gs9wsNsHzOjEnwqIZZ9Q2FTwvcnZTwfP6\ngPV43hbMrLUFkZmo7o7IdOLBsNNqI8VYE0SHGKLyWjDOxeN0IttQDRrIT/G8IMQY8YKQNzW8l0hF\n4Tvk52FcUUbMVowj9KlEA7mISWPM5mJVgGot+dXn5X3+OjqK7LrriKN5DY1GoF4QkStEZJ2IPGjx\nFovIYyIJ5LxFAAAgAElEQVRyv4j8TER2sK6dLiJPhtff0QhaUwy6t932L1x88TuZMiW5JnCZBtkP\nYLwsTnYgqN9J6h1bTD7Mhtdoc6WeWqO+XjU7ANVzJtJ4t5wM3niQkEw615n8PNjsOqMykgN2pMKw\n20gT12rhiNvNqBXMtxuHTUn5+ZjBxuhmjTlX5IIxKi/AePLqJTYH2xbmmR6qATw8bxqwMyYEoB/W\nD9CH58U+dE31k/G8OIqDqWNraONbT37miHJSHVQiNjcTYq/bfh35SfiCmRIO0pHrxk6MLbExLTP5\nvUQZbvnZOGu/+Fzyi3gHHTSD66//MF/84mHZmx9LGpn1wveAd6Z4twEHqOrBwJOE4clEZH/gQ8B+\nwLuBb0gDDz9NMei2tPh89rOHcNFF76Czs1hXJxoEWbOWyFmKnT7aYXXppFyOWtK8WjHFXOFb6mGL\nnIO4dF92+fWwueJ2pdvIrsPMXNxtlOYNBVsahys2lgtb8v6GKr98bZTkeQkcYe6EqZM9G7PL9f0O\n7MeiUomW5DFmU27gwJat0+VEppH8zOGCRJaQpyleLfl5qX6v4b2Mn/yCQOnoKHLDDR/lyCP3oME4\nNPo0gpmuqt4JbErxfqWxfugeTMgygPnAT1S1rKrPYAbkQ+tBa4pBN6I1a7ZQKjVefzeKkzZUcmXN\nYzqUP9+wodWYHTUuMG8bjQzb8OQwPvJrXG/+fMME5qizFi9fPle6YcGqU0fjAvOa1ZVKFV58sXd4\n4EZKY2u98G/AzeHvWcAa69pzIa8utO1ODz64jpNPvoXf/34NpVIloWeyj8RGs5OYl5x5Rrwo2oFd\nTrTjautH0x7xIRttOJo1BoFm8tt1psupFSHVFYkB4nurh82FY6TY7HLS2Fw4bF763rLYRio/DxNf\nLMur30ZxJIW4jTyCILDuQzAWBornaXjNQ3UT5ghvNOMTzPHc/rAfRW3UAgyG8hOH/Aj1pz5R4MbI\nEYw5NGGsFqJ2iXlROR5G3xzdo2I25yop+WXbyKgmikTmdgZbtt2GKz9XP3LJLwiUt7zle3z84wez\naNHbmDGjk3GjGqqD5Y+bz3BJRBYCJVX9ccRyJKv75soVOWIklCdyxH77fZ2VKzeM6K09QX8rJJgn\npiX8Dojjjxk9a6yPVaJjslQduxQxg2StZ0HDNJHfBDARH7YCO2L8HUQ61DZMVIciZqNsHSaKRETR\nRl8xzFsI020l6XimQhztd1vIM+4WjRlXpFP2Qn7Zyh+E+e0jwFEbtVptFJmuVayyIjdaUVtF/Kjc\n8aFCweOkk97AhRc23GNi1CJH/LhxOgD5CM76RGQ34AZVfZXF+zjwWeDtamz7EJHTAFXVC8L/twBn\nquofatXZFOqFgYHKsAdcl6oobzTg4eQbCuX1/p8nzWhHVhhJNOA85eelbF4/jHQbTVXM4GH8E3hV\nnnHyYoelEXx/EmYgy24CRmlMGTsTD66COcCwK2aAjTN43hTMgEpY16RUZAkPE2ZnJ+JFo4/vpxeQ\nPsbpzDaLV8YMhvYJzOgFYw+Ixvoh6WXMC3XPdhsV8H37IQoQ6SNtbmbSJAdcVwSJvJSnj5TLAQMD\njU+ajiqNXL0QdQ7zx0TLORWYHw24IS0DPiwiLSKyO7AXcG8jaNudOjqKiWX9UMg1WE9EA05S3jZq\njmjAFSqVPpKzuAFrSe9jNoomYwaiHqLZZqUSWb9E7hILoQohmilCPLuNSIhnvVswg5QHTCcIOknO\nMNuoVGYCGzCmYi3AdMxj1B/iKFOppAcYjyB4JWaWvCFMtxOwG7AeeIHoxFnsxrESYutEdSpmNt4b\n8lpSR4LN/WWjAWdntcOPVOymPH2kpcWno6OYTTiWNAK/CiLyI2AeMF1EVgNnAl/GCPyX4abgPap6\nrKo+KiLXAo9iOt6xjZb2TaFeePLJDXzpS7/i5pufZHCwUtVD2Tqj6HdSz1RfJxtjMN9ZfWV9PVXE\nt8uMcWSxuXAky451y0kcLh1bfJ8uHGmdbi1sbhzu+lzYonbLoxOOcQxffklsRm2QlF8Xxo420lcq\nJphi2pG3H+oxjd1rpSJAB57nEQRRujZgp7BOCcsxy37TbhLqUiPXiFEbRaNUgcihjeE9h4kcbOuu\nowi/gu8rlYoZ0EXMKTnPCwiCrcBKq93A2PpGOCILCuM03XaxaV4S21I63chULGq3OAKx3SfGWn6e\nJ7S2+px44hs4/fTDmTKlsdfwUVMvLMuZdr5bvTCW1BSDbkRf/eqdnHXWcgYG6jtsdg0aadOZkZKr\nPFe9WWwjmzkMF0c6nQvH+LRR4/sfGbZX4tbXJkojG/m3iOe1p+qdRjoKr0mTXACK9Dh259MRdyvA\nKgeOVpLPdBuetyPGdjiiFxBZk3rhtWGHCDK8TaimnZ5vJqufzRcNeDT7uKuslhafP/7xMxx00M51\ny0uWM0qD7s2N0wHIe8Z/0G0KnW5E06a1O6OxpsmlRxpdvaIR/mjlG20TxXzluXCMtT42X7vlxTYy\nHHnyjcezlrfNG+vTR7/fD7c/5JOf7ws77LCdnCBMuHasT729gyxefBennHIrfX0l61RUnMY+kmsv\njSJeNgaYJNIkryX/R8srm4yhfLIM+4CBHc3BxuHCFi3P82FLMiO1gp2+UrFxiHUPcRn28j/Ns+vK\nYkt+18NmG8q7sbnKzWKrdRDFpLE3xYR0MEWIzMJspqbkJ1W8yegTg5l7jhx929hUCwkcLmzRZlYS\nhxeahUWnv8DofI2ZmilLgVZsn7oGRxlbteL7kcohbifTBz2n/PL0LVcfH478avWt/v4yb3vbD/jZ\nzx4d0Z7EsKiJY6Q1hXrhsMOu4P7711aDUyZ1WyR49jLGZZc6lCW0K62rLLe+Kx+2RvU1C7ahUF4Z\nuPV/XnW5bXSoLh6YPYso1tgAZrBpDXktmI2vFsyGVDtmmb2e2MZVqr89bypBsBtGxfAiQbAZz5tG\nELwCY1nQRxCUwiV9W5g3whGpIPpCFUAJYx42GbN5tpHYbIwQRzci7ageZPLLatAnECkTewSbjupU\nPO8lguBZjF42erEHBMFgiG0SQVBE5CWMDbGEOIXY94OSVTEISfOwWODDk1+2b+V9/jo6inz5y4ez\ncOFbaUSjpl64M2faw8dfvdAU1gtr1/YkogHH0WfJ8GyBpgUe8WptptnpXGnSvKh8ly+DPNjSM4Ba\n2NLkSuMqy9TdGFveNkrzXA9QrTZKl5/FoRhrAjud78hbxPfbrDrMDDKZroTndREEXRay6fh+H5XK\nNqssEDmEIIg9dwXBLGC3hE7VWEKkcXTgeTtjnMgATEZ1L3x/m2U50IkZzGzb3en4/oFUgknWKnxP\nPO9JgqDPKv9F4C8p+SmwzWq3CkGwEZG+hE5ZtdeSgxBVZDbqonTJzbOIXPJL62jd8svy8j5/fX0l\n1q7tYVypKUY2NzWFemEkNGEy1piaw2QsOvAgCZ5xLGPzWqhU0uZFnRh/sxF5BMGOmBmujS2agUbU\njmoXSeeqQuznNqRiC0yeYrv3go4Wgmkk9X5Thcr0YuqpaU/VqVSCTaCb44bRwapFhVUpsAvGNji+\nL1NW0ktZ7DvX/IcgNEtTi6cO+UU+fWPaHiZjhsZ1MtnUTsybQr1w3XWP8fnP30hvb4n+/nLCDMVl\ntlTL3CtKmzbBcplluUykXEeI69VZi2dTFluyk0f6s0bYXOUmcbiO69bGZrdHPWzZY8vu48K1ZeVh\nBs1CtHREpBLW71V5xpi/HcIoCwabAFMQ8UJsAWZ2uTcmhphgTLW2EEVVMNhKiOyI6m5EZmMi/Yi8\nFNYZYisKsuMOBMXWGFu5HzoLUCyCCBoI9INMBQqKeBBUgL+U4KVCKD8Nsa3CeBUzao0oSKSxTohU\nAAp0oTo1xKGIbEZkTaI9RHoQ2UR8dFkxkYAHITziHLWRKduWXwFjJSFhP4pOrOkw5JevvyX7UXyt\nvb3Avvt28cMfHsP++8+gEY2aeuH+nGkPHn/1QlMMumCcY3zuczdy1VUPUi7Xf/WOVCeZh0aqkx1L\nahYcLspiayN9IMGNP+1EHIx7xjTvNZAx1Uo7VZmEyG6pGWIfIluT9U6dBJM7kuW1K6RP3bU7YKxQ\nCNI4HkglKmGcVdmVdiKyM/HBBTAHJNam8nZjDn7YFB31bUTJk3VmsM/neCZP38rb/zxP+PGP/4kP\nfeiAXHWbskdp0H0oZ9qDxn/QbRr1QrHo89a37kZra2M7jno+Z4dDeXZ6TTpJ/c/mG/tjsrWwNcYx\nHsecs7x8snLLLx84dxs15omXrcPZRs6nJJ1OHbz88stGA87m8x2PxtjLb/j52tsLvPGNszP8caEm\nVi80zaB7333PceGFv6evL238naXohJVN0WmZiGxzljQvucx2Lb2zeqn0hhq41QlpbLaVQRZbFq8r\nbxpHo01CF46I54puMVxseXz/pnfOa2ELgsCBI3DgSLdv1uxNPA1PoNk8IXVKFg0USfmorZSzg6xW\nHO3hpXm2WZiNLd1GgUN+WZNHc0IuyatUsrLKJz9xYMsrvyzVev7S5ff2ljjjjNt57rktDcscdWrN\n+dkO1HDQrRG64kwReVZEVoSfd40ExKc+dT1HHPF9HnlkfeIBSgvR/k7rGdO8eFaqGV6jWWxaR+Xi\nuXFkeXFEgyyOZP21r9l4o2Lshyofttpt5MbmelnZ2MxR0xhb5CqxLTUADQC9mPA7LmxRWJ1dUd2x\nWq8JKVMiNoUSRCYBG/G8gSrPqCD2CK+JGTF3mARdihdpLFpBX9MGh01BJvvgg+zgwRsK6KswGhAP\nvCnAwaB7UA2j5nUBrwadHVYXgGzFqBysmZK55/0wESaiNpkE7IrnReoVRXUL8FeMA5wAEwDzWYy5\nW2SbWwLKVhtFoXxi07q4jdqxT64ZefRiHOloWJ7x6yCOKburbw33+bMp6ivXXPMIe+11GT/+cc71\n/mhRE890G+p0ReRwjHLpysjNmYicCWxV1YsbVpBDp7vHHpewatXm3KAbUZ6jqK7Z4fgc4R3rY7L5\nyFVHPmxRtFz7QYtcLtovurQ+Mhog7XxtGKcvtp/VHjxvcwrHFGLXiWFpsks4SMdrbpkxgLYUwLPW\n4fuF1UYsVZAKTPfjESQI4U624AUgAagN7VHw/gCW5VfSH05InvccQTCAPacReRRjo2vTRowbSFuw\nRWKHPRG4wVSaKPilPYgO4HmDqXZLHwcGz6uM+UEFVz86/vjXc9ll72mYd9R0us/nTPvKJtTpukJX\nhDSuQMeDmnVzaixodO/VHnAJf7ui2irpwcMMDDbPJ3tUqI20eRjFYlbJ2dkKhRTPHnABPIG9C+bb\nhm9PUMGMfVNTMApknZQ5Z0ytxIclIK1eiXk9qWuKcf+Y5tXK34j+jjp0mpp4pjuSao8TkX8B/gj8\nh6q+NNyCjjlmPy6//D4GB8tOY36bbB2svRyyjbxtD0mNvHC5vCel68pL6fQ2puFhy54CGim26Lsx\ntkLVJMl46SoTR2Uwy2lzuCHt0KUY8iZjHvotmJlaKyZMOKH5WCeqncAGjHOaqXjeZIKgjSCYGs7a\ntuL7c6hUdsKoIfoJ/F68HXciKE4CFG+bEFTA2wOCaKzuBQoge4FGvAAzqT4EMx4GwGMYr4rhO0MU\nNMDMeCeDCngVCDaCtwWC6RC8DbzNEPzJZAvCsdUbgOBF8BSCYLrB5vUSBGsQWRu2URtm2b8FkS2h\ndYVH7HoyOiAkMaiQF5uNBVWzOLPqKIQn2EoO+WH1rSBMl+xbQ7XSqZc++rZxtLUZs7ojj9zDXeAY\nkW4nvwp5KJfJWNqLuojMALpVVUVkEfAKVf1Ujby5TMaeeGIDH//4z7n33ucyNraQr2MMhzeScoaS\nttHAOVr3M9L85rdf3aAypKTX0GagTDsMLzh4A8T+cCOahkhHijcbc3TW5u0WlhkpFBVm7WAwRrrf\nAuisRJVIO+grSKzjZHfQQ0hOM54E+WuqPaaG+W0YT4WDqs2802gpqu2moM8kmgjjnexOkvsKvaiu\nTfEGHaoHl6zKoyi//H0DhtcPReDEEw/lzDPnMW1aaqVSg0ZLvVDKOQUsThl/9cKwZrqqut76+23g\nhnrpzzrrrOrvefPmMW/evEyaffaZzuc+dwgPPbSO3t5Yp+UaTPIck62XPz0bdc1Q3ccls4cu0uXX\nOoLcKOBhLZx5saXT5Tnm67qH6Hej92TcHjZPqv5fY162IN/3Uk64bV1xgpucRYe/1RphzVw8tSAX\n8L3kMKN+lieBQ36FrCWsBKkBFyCVV4MsENVK+HIqWzx1yC+70nL1Z9NuyUYaufyS/cjVt9KU9/nr\n6ChyyimH1R1wly9fzvLly+uDHQZVmvgYcF5ogjWXEJGZal7XAMcAD9fLbA+6tai3d5Bf/OJJtm1r\nHNZjex2TbZZowHnudeyPOat1aszGlk6XnUSMuvwcjEoammZdwqhoOFDGCZ0vxzwg0iN/yIwdnseU\np4/kPUI+kr7lqmO4fcuVr7+/zC23PMWnP/3amva/6UnY2Wef3bD+PDTQ6tpTcNFg4ySjTHlMxn4E\n/B7YR0RWi8gngcUi8qCI3A8cAXxhJCC++90/88pXXswNNzzhPJrqclfn5kmGJ5L81OKl60ybyNRK\nl8YR6Urr5amHLU+defHmbbcsjiDFk0Ra861EZkmGp6Eqoc/igUgRzyuGv+N3txdaGIjnGR1B2yS8\nlg4QD/E9KPrwygrS4SEFkCLIZIFdK0gbVR47YPyaFw2PAubIrnEghoRqUztcmCcB4gXs+IZuph2w\nESlU8HwzAKsPIVwkwBgSDIKEocukQjXUmVSMWiH6RHtnpm3MLDfaoYttZXfA+IPwLF4HIh055OdZ\nfTxqSxO9YujyIzcv//OX5AWB8h//cRt77nkpf/xjTnOCUaKK7+f6bA9qimPAo20ylmeTKU7zOIXC\nGsrlXRCZO+YWDEPDNr44srzoibJVKtGS3565RLHM1Mo3I5VGMVv/O1BdYHnt0DELWubEI12xB5k8\ngM6YRtUJRVA2Y9eehVBXA/IS6CQgsp+tgPSDzsDEnQTzTliL8c4YmX4J7HLY00zdeSMtbWaWs/XZ\nyTzxPwfCDl689luLiXr1V2J9Q39Y79PWrbbH16LbFFmH2VfuiZlsxcxxoge9DDxBFPMt5q0jDxld\nd+S4RzFhgko55Ld9+tbxxx/KZZe9O0fe0dHprk84SKpNM0xUkER9InIF8F5gnbWPNQ24BrMd+wzw\noch4QEQuBd6N2cL9hDbw/NA0J9JGkySHyEyax+nq+g3nnTefrq7fAI+POY782IaebyiUrw4lvWZ2\nR1uopNI9SqHwP4Dd9zzM6GefKChC65x4wAWo3E5h23mw6cYY1Mwi7FWMAXogeyjsovG44oPsQzzg\nYqqSXTRpBqwwY5cXqgMuQOuOA8gMzSjb5AWSCt4tIH9N3Wo/8YALICCylaSdsiBSJPm4RX6BbV7a\nfK4WCeZghFT/m5lz+nF2yc9R2jj0rZxKmlGjMn6uTw36HvDOFO804Fequi9wO3A6gIi8G9hTVfcG\nPgd8qxG2phh058yZSmdn+lRN8qSL7bk+olrLosgUph4FARQKa1iw4GROPfVUFiw4Gd9f41wuJXHU\nxibyOIXCL4HHq2/7NI48hy9qWTm4VClJ7/712i1ZnquNkvUKcUwTsfJVMCeczMzWhEJvw6se/3qS\nrq7lnHfeP9DV9XOMur8TzzsI2AvP2xkz4ExCdBZs2IjXt8W47iovo0tPYNFxM+nqPgG6lxkf5Xti\nBs4iUFT8Nw3gf24rLR/rwdu7BEVF9oXg1SB7Yw6CtQW0HdRL67s30/7mLXjTyrRN7mPftzyCLwEF\nNfh7eyfxzJp90bke3uywjk6QN4GeA/KPYd2twH4QvBuYGzZLJ0a18crwt1aAtZhAk9VWRWQbxvNZ\nheiwg+c9j/ELHL2wBvG89ZjIGNGqwQvbtS1sZw3LKxMEPaE6JxrMigRB5NjdTS65R33L3cexeMlr\nUd50OlcdHR1F5sxJGz2PLVUo5Pq4qMbZhPcDPwh//yD8H/GvDPP9AZgiInWDwjXFHt+tt36Mq656\nkC9+8TY2bdpW3bBKOm6u/srwYnd4MS8KnVMvcm25vAtLliwFYMmSpZTLR6SQmaVbcoc3i80MVo8z\nffpvWLDgZJYsWUp3N8BcJ7Zo99eFzW1hkHXHF7VDcufatcGRvJdsGz1GsbiGUmkXYG6IaWXI2xVz\ntNULd+IjHFE9qygUVjE4uDtBcCAwjUJhCwsWnMipp54KwMKFKyiXX2upJCZhTpe1GreJgAz0Q2eR\notzBgi8eF+f98XKCveYT+RH3WhX/33vwWzW0j1UKh29jcN9JeAFUvFAnu2eFlllbjNLDA6ZWmH74\n8+zW+Vd8NNw3U7rXz2TNs3ug6hkBTMF8FKLDXvIW0LUgq+Ke5+8PlRJ4g7FVg0wL0N6H8T3br605\n6ha1uWm3XkzUYFtmPcAmy/JAifwPx87WzcvPdkzueSUqFR/brM7zWgmCEnFUZPul7XLraHjJjTBX\n37KxJXlm9ZN282jKfc1rdubii9/FvHlzGE+qjH4AtJ1UdR2Aqq4VkZ1C/ixgjZXuuZBXU0/UFDPd\nYtHn3/7tNSxZ8g46O4tOs5fotx2XK6LoUIGdPur49aMtzKW7+wjOOGMZ3d1HYKYwhmrF7bKx2W/z\n9Ky5UFhTrSut46qHLY+jHYMtmc+uw459Vb+NHqOr6zcsWhSrV4LgMbq67mDRovfS1XU78Jij3QBW\n0tV1K+ee+266um7FzGiLBMGBLFlyKYsXL2bJkksplw/BNv0KAsH3Q8cG4Qy6UgGvrUDJfxtLLrzc\n5L3wcsq7zasOuBAOoB1aPZAAoJ5xDFOxe3JLEA+4mGpaCoP4Eg+mCgxsaydQv2qCFkjo1dGu0wfZ\nlFwcVwQoJc3INAhAg5RJV+T31pZEOdG3TNtG9rfxC93zko7WzYEDzfSjdNRjU1d6ohBdy/bnPH3L\n/h1NDGyKJhBJHEpHR5Gf//wj4z7gghl083xGgVxr6rq6lKaY6Ua0evVLlEqN19+uGd3wNwTnUirN\nzXDdZj2a+h//rjdrHm2TsTz3mge//aIAOP3071EobOLoo99lzVRvoFy228dsPAbBRhYsOMlK9wvK\n5TcDb6S7W1i48A+Uy58CsnGxXFZJqkDnfLp7YeHi5ZT9y2Cv+dmEji7uao08PKc5Xs6ycLpyzNcv\n3fJL9y1XPkcudeHIR8N9jvL0LTA+steu3cquu07JXBtrGqihZrl3+TbuXZ49iJKD1onIzqq6TkRm\nAi+G/GcxIUAimg3UNdVoCuuF++9fy4kn/oL77nuegQFjp5s2+HcdW6wd4TYZ/SH27p/Uj7qjLWQ9\n4rvUAC5stiWE5+1XYxaRjsRgvtPYIvWIC0c0w47M02wdWhZbrdmMomo2EhcsOJlFi75Ka2uBBQu+\nyJIlSzj66KO56aZb2bDhSFTnhjOqB+nqWh6qUC5mYKDEGWd8iSVLLmHDhneh+hpEdsXEQhNz4IEO\n4BV44exLCoIWWqDchidKUMKsnKd3wqTO6oxJPZDDQGeBF0ZGCDyl9cM96EwNfZwFBKq0bhJ6+icT\nqEeLlBG/zPRZa+mRTgYpUiSgxetjr86/gECAh1Y8Nr80jaee2Q/BIwCkDDoAtITt6mEMCu4A/mRw\nqIaq25UKWySUnxJUAmT9SnRwGyKC5ymVSoBxnG5UK0ZWg8DzmCCVkfxKmOPQUaBOQsuEttQBlAGM\n7tdWE7QALXG7qSLSj2oUNXlofdzVt4b7/Pm+UCx6fPSjB/GVrxzJTjt10ohGy3rhYd0zV9oD5Wln\nfSIyB3MK96Dw/wXARlW9QEROA6aq6mki8h7gOFU9WkTeCCxV1TfWxdcMg+7cuV/niSc2jGhG+LdJ\n8SBuqz6GnsZFK8N8PoVCBVjDeecdy6mnnsrixYu5+OKLWb++iyD4dyKrg0LhB5x33rxqmoULrwWm\nUy7vBrwWs9skQAsU9oLW2VB8hamu0gNtW2C3qdDVYaaUa/pgfQl2+DWF4C7KnfNg+nxjWfYmoAuo\nQKF1kML0Qdre1oM/tUJQEToH+pgmm9infSWt3iCb+qfx7Itz2KP9L7y169e0eoP8pbw7Px98PzP8\n9fi3XM/G36xk0ryD2PLmf2H9upls6u4yeBVj0fUkJoiDh5m77ICxUI+OAb1UgS0Kj5ShR026KYNA\nL7z0HASDVO3X2IaJDBxgFpSdGEP8fqgey7XNHjT8vzksI/pEm5llYrM8V/SIKNZc2iPZ9qdCQTjp\npDdy4YXvaJh2tAbdB3SfXGlfLU9k6gvPJswDpmN0s2cCPwd+iukZq4EPqurmMP3XgXdhFPafVNUV\n9epsCvXC4GA2amlectkEjlY04Gy+oQ1wtWaZ+aIBP1adhS5ZspQNGwRjrWLT44k00eZdmrJttNKa\nsS6lu/vteF43S5ca9cjSpUvZsmUrQfABjL2toXL5AJYsuQSAJUsuoVz+Z+A1jvIHYdJrMacVQmqd\nDK+dHOtLfWDXTuhbyOTub3LMB+Zz0y9OoLsL/KPnxzpaHwoHDDDpDVuq+ljPV/bpfIqZEq/iprVv\n4ojdfsskYsuBPQqrOKxwN6uWPcJTJ/6UU447iYtPuIR1/34YvPmgGNsA8AfisSwAHgfvBWNUUaXN\niv9AicqglW7TBozXnIgU399EpWIPqGVMqPWqRIiDY6rFawdsywcwhyzs58MonZORfwEGhxXNGdx+\nQfJSnjrKZa2uYMeLRqKvVdWP1rh0ZI30xw+l/KbYSOvoKDrDpOQh12A9NtGAh27TO7RowLG5WaWi\nDnO21ZkctTbvktSCagfx+1UoFJ5L5VtNEBxKT882br75Znp6+ujvfz0mHlk/sabzDXR3f4KFC++k\nu/uD4fUpqO6DSHgEDIGOFyj4C0CuN9nsmWO0CdYKTF9G17bvcsbC07jjjjs4+t1vo9C5nMrrqLpV\n7Ds4q2MAACAASURBVJyylVftfT/7eo/REcb56qSHFvrp1zaCcODahdW8jnuZwyqKDKLAJqbiU2Hz\n8sc45Tijfz7luJPoWHMLLTv3UD1KNqMMxwzC3uERMwzO4BXErhxLwIBH5RUt0Bb11R5MMMrNxB7C\nPCqVnTFH4gqEW3YEwaYwfTRb3RZ+SuF/xRyZs8nMao3vhsBKl438a+pNPs55n42xjgbc0uLT0ZGO\n8Dy2NEI73TGlppjpXn/9hzn99F9z/fUrGRysWC4H67tgjN6oQ9EzRRQdkYzKSpuT2TzfF0SSm05n\nnLGsugFXD4db95vEYetWoxlrpZLdmLNnEJ6X3byrVOZZdXtAe+gkRTEevIxXlkplz9SM9Z2IHMjW\nrT533bWKcvnDwCGISGgTWsYYzBaAwwmCwzEzrq7QXMlDpBMt7gLTH6Wr/C0WfPE4llx4It2TBQ6Z\nj+cb6wCvAMFuwOHQ8t3lLDjlC9U2XfSVr1JZ9H2jzXgNHLTjCnaZvgrfM4PjVDZToYBPBY+ACkUG\nCfgU36OLboqUUHwm0cO1fIgB2s0Cvd3jrHPO4Yc//CF/feEF+NaFdO7ag7/zAP09k/AkxPb2MsFO\nHtxVwCsKQQHj5PoR4GnwRAg6BOa0wrN/hJ7nMEd+FdUBzB6KUbF4XltoN7sC40VM8bwyQdCHMf0y\n+lczYzXHpyP9bexCM6g6EBJRIj8OUTpThtFuxxGkC0SHVWz9bfp5qGeqmPf5c/fxZJ62Np+TT34j\nX/rS4Ywn1bLBbQZqCmR77rkj1177QS644C7OOmt51emN3Vmi33ZniDqJvXmU14mH6aDJ/3ZauyOZ\nepIDXKl0RDVvjOPxqs1rEMx1YMveu2rWimDhwmWUy0fR3R0N7kcAc62HIurYc+nujtIfAexbvQeR\nJ/H91ZTLuwMHhji88L4PDPP9gnL5ndXrcCDl8oFEIRTiNvKIl8PRfRSrA67hCbRPptj/Qxacbtna\nfnM55cL86lw5ALw9jR/awVfNY8mlJ5g2/drX2Prhz8NRocWCD7O6VuP7caN5KJ6Wqpv1CuzAVqaH\nAy6AUGEjO1KilQoeq5c9wOr/dy9Td9iBj33sYyxZ+jWjHfUhCArgxfP4oAjeX30CpGphoQLyQii/\nqotJoPc5ILD6kEes0w7bg4Fwwyzqu/agplbfKSOiVh+PB7e4b2mmj8eySfet+LrbdrtWH08Omo2e\nPxuH6/krFDzuueczHHTQTow3jYGd7qhRUwy6EU2d2lrTG5FNtY4yjqZeOBtUcC4bNog1wM3N6Hvz\n6FddVNvcbC6lEqEeOS4vef9zKZezWOKDGpeEWA5M3ZMZYEe13Uq30Va4i6VL7zX3cuGllGd+A55d\nRmHDcsrT58Hs+bGF05vm0w0svHc5lYXfgne8n4bktIqUDP+vyx7kheWr2PL0el59wEG85z3vqb4I\nzvnt3fC+d7oNrUa0hZOPhnvs1h3ociTyc5c3vLLcut3Jk/N6+xpdGqxzMm97U1PodHt6Bjn//N9x\nyim30tdXangMMXorRx3ENuiO00siTfJa8n9sVhanjw4T2DzVfQmCdxCd3Io6mUhWv1osrqniSHfG\nLDZzSGPhwmVs2DCPeLB265ErlfjwQ9LEx/xpabGxnEShsKqO2iXZRqaMINVuHqB4iYYLwoMOVhsE\nd3HGwgV861vf4uabb2Zj7ywKa7/L5Ac/xXkfn0nXEycgLywjeBEzGbt7GYWHlqOvegscdjQFiYIp\nQrtso3dgEkXLF22BMh4VisS8cmAO03iRQT/w0LJnePCEm/jYzKPo/9M6/rjiTyxdutQcurj0EvSt\nbzLppWKc54TN4pchmGEc5Ua371VAd6jCClsjgJYpJH0dGP1rsm8VnX0rKz8vkc4+PBEftXXzVIOU\n/EiksSk9obEP0djYGj1/aRy1nr/+/jJHHPF9rr32EedqcyxpQqfbgI466koeeGAd/f2RjW5tASUj\n15rBxrVjm1yCJcm1zK9n8J2cEaS/TZ3p2WqkfnA5PXdjm5s4hCACvl9bjxx3/Cy2Uik9c35XqHus\nh8OYKAVBO9FgES+Z9wZ2JAhewkSt9VHdIUwPiId0dlJueQ9LLvwPFnzxOFb8+RF27GxlwRf/iaVL\n72Xu3LksOOU4zrh5OaVD58O9y+j6zgksOOE4Lvr6iRxw0K/ofNfbuX/96+ktdfKv06/gqPZf8LzM\n4k7eQpkCr+c+duMZVrEHD5QPZmppC59ceyUH9T3MhmlT+evMWWyRKfx2+Va+cFx8cOPy31/LNi1w\n0e+XUbzsSxSOeheDT7UxcP8kwEP2KaPTA4K7PPi1D2Wp+uYJ7gH+BLSA7BygvhKs74GB/VA2YjbS\nAox1UeSIvYzIAKrPAe2hbe4gZqOxELZbGSiFlgmRsX6kH9aqLJNHiJNk5Belj9QMgaNv2endagW7\nHw31+avXx1evfolPfvJ6nnhiA2eckT0oM1Y0odNtQOvW9VYHXLD1q3Ea19FEV4yn9KZARMMxGYtm\ngUndVi1saf3q3Mzssha2NEVpkgP5RZRKsclYWgcNj+N5awiCXVC1scxD5ABUH6ZQWEW5vDuqBzpw\ntOD7nYmIDiJ7oTrbSjMN32+hYiVSBdl1bwK/Fdid7t4WFi5eDryZM754WHXgu/jii3nk6VWUjr8M\n2qHw4HIWnBDrfn/0u9vY4wP786ldv8EbuQ8/dC49h78yi+co00o0EO3F03xw7Q3ssvnZKo6dNm7i\nlqnv5vmOnXjlvKdZesLXTL2XX8qMyz7NHvNje/Xl396JhOPye4rwe8yhh+i+Hgbv7tD0FqAMumoA\n398atptgBtpWCK0qYvmtplKJXJUK0Eoccy5qtyKwyaE3rWT6VuM+bvKNzGQs2U+jum0c9rX82KCv\nr8S6deno0GNLEzrdMaSxMRmL7XFVh3LgIDlbHZrJmCvNXLq7n2PRovM55ph/5KabbqO7exZZXbGt\nT76I7u7ngH+oYlG9n66uX1s63oBKZT/szTGYQqXSThyhVsKd8G3EG0RCpTI95G0x2QoFtMM3G+Zl\noHM+5UnzoW0ZSy4KN8kuvJTelgPY/azP0L9lKwOXnUK5pZ2Lvn4ZAF+7/BIOvOy9gDKDF2mhn0ro\nm0E0YNaGFyDwWNP1SgLPxy9V6Hx6q7G22jmEVoYDH3mY9p13h/eZIIg3L7+WN152BC3zdyeOL6Xs\necjjrHt6Fj2bdjAsV1DeTRAkTEsV6KNS2UZ8EMHwzCy2SHQwwqRJSJQg6CF25xgCplJt17iOLOXt\n42les5iMGRoHZbmNYWLQrU9f+9o7+fd/v4mtW7fR319xHFvMHpO1Kc1Lm8lEOqokL2vBYGamjzk3\nxGrhqIdNNekg3WBLdnI3ttjErVAIOOOML1dPgZ1xxjLK5bmJHeNiMamGWLTofLZu3QXP24cggGJx\nVUpNcQOVyj7hErcL2B2RQthu0zCj2TRMdId+gqAfY2i7Y9xuUkJ22YZOn4x4gqKIJ8bF4itAvPl0\nr4RzfnYrr1vwTxx6wnT+cssjbDr3G5x83MksvXwpB3zsFdz2wo9432UHcOB82Ief0U4/BQKUgKkb\nX2LvNasphA223/NPsa5nOjMf7sYLjLmUPB2YW9gCB/MwBz76GJsnT+H8yr6sp4/dWM2ruI0X2TlU\nU/jsefBTzHnV06x7eBaPf+dVlDf7JsClgmzEHJToBSSaEPcivIg5qKAEwQBm0NyM55klvlEhGPVL\n3LfUAKPX6hde2M7brD4j1RVV3r6VNnd09y2A7LOQPiZf63myr+XlGRyxKVl7e4H999+JY499HeNJ\n20tfm4eaYtB9//vncvTR+/D5z9/I97//ALZ/AntgdJl4uf6ndVJuM7IsjiDQGuZbc511x9gex/fT\nM2O3NUMadyMTN5eu2O70AKXSrixZchEAl19+Occc849cffVTlMv7hNfTZbydeFY1B3OAwtbtmuOx\nkccqM4vbEfBC3jIK7csp+0eA9/5Yy70zxresF5Y+dz6vOXYyh/3DHYiUee63qzn5uLhtb1v7Iz7w\nNfMw7sujtFvHYgXYd/UqipYqww9g9oq1yTlTgPF8KmaDqyUIuOnBEj/93lOcdNwpXHLCxQjKpPm7\nhwcpAE/xPWXrQztQ3mh0odV7eAgzdtqk61FinyCGNoayqkqKyJtfzCthRm/bRrxEZKQW9yPN9PFG\n/b4RL8ZR+1lw5Uv3rVrPnAtvfM388TzhBz/4AP/8z/sz3jRI67jXmZeawnoBjE3fm9+8K62tjd9Q\nLrOyPKZmtch+S0eDnHFNuDQ88hulE0e+pIWB560E8p4Wy4MttmyI3E9m73Uu3d37sWjR+bztbW/j\npptuIwh2S10/gv/8zxvo7n47sF/Ne6pN0VO1jK6uEzjvzJl09ZwIm5clUqWhicROVGbPm83Sy03b\nXnL519hzXnzE2IWiHm/ZQ3DK9QWWPZRNefdDcNJxp3Dqqady0nGnsHK5GSAznT0Tdih07Ziu02us\nEqqF2NW+7v6bJ42r/JzQHDTc5yhvvra2AoceOmt44EZI4+jaccjUFDNdgHvueZbFi++ir6/UMG36\n9BckDcohXva4nZhn08XlZTfEonTpWalrab9w4TJU9615WqwRNpGV4aGGOGabSKwrFqmlMzuKrVtn\nc/XVT1Muvx3YBxF7hjWXwcH9jeevRJ13UiyupFR6FfBm6zQSBMFvKBT+RLlyKOgBoUXFchYssA4/\nXLqc8lRzoMGTgECSA9ngYCuVio/vV9hnvtkIvHn5NbzvsgM5aH74YlAo4yFK1b8CKpR9H7+iSDQz\nFAFPWfagcOLN0znupAWccMkStLWb+QcLEr4YDjsAFl5+MQCXXH4xH7xsL3wqGTcxfkcJzw8IrOOz\nlQKIH2+qiSga+OFpMsPzPCUIJPyO0omjb3lEJl2xeaFkwqhDduVVyw9zsqxsP0rKL5kunTfdn2v3\nrSTlff56e0ucdtqvuOCCI9lll/F17zihXmhAn/zkz7n22kerA26tTmJ36qwu1u0R32XiEm+CZNMb\nMoOc3ZnTOKLvrHnWEdUy7BNlIrHlQWxrnMZWP/qEjSPpas/cj8h+lMtRpIcWVOPQtZ7XThDsFOoj\nN4R1r6Kr6xcsWHAiS5ZcGtZ3JNCG6q/p6rqYBQtOYMmSC+numY1wDOXBeSxZEm6QXXI5lV0vQwjw\nOyvM+tgztBywjed+uQf93e20TB5k9ZN/5spv3shkr5+D/20/3jD/Fbx+/ioCtvKkDlJRn503b+Cg\nJx6nsmOBZ/fYCfWEab09BO2CBIqWzYB7zYpW7nikyAuPljjupAXVgf/mp8/lqNkVWp8fYNAvMv2f\nD+Otr2njl7+7mn+6bB/2mb8Xv2Z/XmAm09mEXy4zsLmd/8/emYdJUV39/3OrqmcflqHZXHBXEFfE\nlaiDG1Fjm5ifWYwmJiZ5k4yDgplE3yFmEeLSCMg4eZe8mtdojImJvhkjalxod8FoVBQRFwTZaZZh\n9u6qe39/3KruquqamWZAnfd9cp5nHprbde89XffUqXPP/Z5z2rZV67DeDsABIwtyb/cer1e62KVw\nUAxDqXb0hRLtf0ijDxi9Kr46hWMemqfQtnUNQnSgw4S99TNche1dq19UOrWjHya26zIeJdvh6/0U\nJeNRaRzDcl8sb3/+83IefHAFd9xxAZdcclQkXx8H/RMy1g89/fTqgIXblz+pL4xtUGiCbf6+fisi\nP27wTe0f10+FvEVbxqAtVA9X6+ctXzkiyFtv/uQoq0f39aoGCN8cFSiVr2umy+MMQ8oy9//V6AMx\nG8NYEiitM2vWcrLZLwFgmq/R0FCf5+WG57BjF2FcnSCdhcYXUtiXN8GJCSYc9jqVB+zEKNEMDpvw\nCt1byul64Qm2fOdWKmIlXHH11dz2g7mcic24hObloJ2rqF6WYXibC6/aDmM3b8QZXUKphwAohdZR\nlTTeJnjgrjJmzGjgwT/N4dWFSQBub57LT5pibJpWzaNt5/Jh2X5kYiWMOQo6zCr+kurkTxxDRWIS\nAB1UseHmcXRurtbuBQ+Jthxkj3uLRgGlDmJVF9L25KgKaMUwViJlt7sGXegXmIN005E5DhiGREov\nRDiGlMMQIu2+BLWCDfpb/esnUYViF2mV9iX3ftmKknF/W+FcwX7+z33xFsVHJiMByYsvrv2Ele4/\nLd3/FRQlUMVRECo2UOq/ZlsxFPatCTRMSfm+M1CqFNs+nGRyoTtfE7Z9vY+XE0jOvdH9rhlbaXgX\nI4EDE9ineVUdFLFxGURJ/uaZwuHYUa+SeuZVjpl4RCAEd+niX+bSK1i2zdDO4KmV1Sax7AyMybc9\n8miW3/9nGddem7duH3/+56zcOIefNJmclSjTKK/q4WTcNGbvtyzn5fonmFF3NXPrk3RgUJmYipKC\nTlXtmmzuBA4aNuZH0IXNOX1XKMxlK8lnb/DIMyC8B1/5/oSvLUzC7ROVL3fP0MBl/H8X/VPp9kMX\nX3w4CxcuJZu1A+D8KIoCfIddD/6kHNGZksJtweKMUe6NYihqCxb2u/XNWzC/g1d9ovff7N0sA7dU\nLnklYKKt3Eo01AmUMhGiBKUsl6fPkE6XMWvWu2SzTUACw+hGjmjFmHoZ6a6xNN6fwo5fitWVwjkV\n5PAE7ASjRFGxfytjjlhPttQiq6ooF11M5Sm+wh8pp4tJtV38/O5OVq5cCcDChUnmz2+jolNSulYx\nZE2H9sOaQicFX2HAGglCQtyAWglDDJY+JkkkvkBzczMA8+cnufE/YFpC4GCxmjEsYQpdlFFOFzYx\nPkhtZIYPKTFv8Uu0nvAFtq8ZjTgdlK3gHwIeB95BuxIMUKUS0ZpBbcr41q8Hw1iDlFuQUlfmlbLL\ntWhjgOV+bscwdrrwMeW6dCyEaEcpTxELd/3823H/+nnUDb5w5yjZCmcD2xW570vGByr3Uc9febmF\nYQjOOae4Sg57igaz0h0U6IWbbz6bZcu+z4kn7tPvCa3fxxRuCzv2dZsqaAtGARUWZwyPG56vP978\n5IcF+ee0rMeR8u0Ifg/Dts9Gw8sKXSRhSI9u05Vjg1ZuFUJU5tr09aXkQfxe+scJaOWsUwQqVQ6X\njEGNq4DDLsTeZyrx1nuY84MxjHiqHl7XaIXSqi72nvwhsaoe3VUIjuNVvsldDGMHpfRwfsJg3n9k\nmTRpC88928ht89MkzpeMWNnG0NUdGNLLcaBgKbBa5YMsNkr9OaOYeqzN4icfZurUqdx002y+/K2d\nfDYRQwBdlPIo57KV4UgMnQCMKrK1p3FrcxO33HILtzY3wbFT2PbhGBzbQpkCSgU81ULs5ZnQ1gLK\nPTxb0w2bMzlDVN+35Si1Bc9SldIk6AYQ6KxiW1yfubduXegqv3nXWT4VZG/rl//rT7byboBCGe9P\n7qPGjZataNkv5vkTAn7wg8msWzeTCy4IJ+D/eKmH0qL+Pg0aFEoX4OCDa/jOd46jvLzQ+A4LnGlG\nJ5HpS+n1RlHQLv3WfieXVNwbJ/xCiLIIongLXld8MnTPEgm3hRO+R11nmibhqieFvL1EPN7A7Nlj\nicfrgRbdxxS5CrnW+hQNV2u0QsNVdVgrU7qrJTFC45fQgwi5NwwlOegA+MbXbT53vns/HBMRvkm2\nQUHFSrfMeuIz0HRlmuE9v2P+b2yunVOe74aJGdre2xiMTExhaNMPWLjxFYY2/YCyc85yVbJLz7YQ\nf6We2T8aQ1zUQ5d+mZhCoQpyHsuCAygIr33U96oAMtbb+hVCxgYiW73xFv19WJ57422gz19FRYzp\n009i6NAyPmn6J2SsCGpr6+Hhh1fmcun2RdGhjANzVkX7UVdQUxMV2BCcI0qw+wsl7u2wrDcq5lAl\niqJgSWHXjWW9GYR/Naaw7URAf9h71ZJc4OW8XYjc6zh4tQWmnYEyVEDFSmVg4OQM7idbupgzs5Ir\n6xqY+cMkkHYVrxNRSzfqhDT/MfEZuOBUm00nVwQuESg3ZDjcJhiemMLwxBQANm/Iw7sArNdSNMzw\n/fabUtgkiLhtRW61o7dCfeWz7WuOqAPjYsLbd4WKzT1dDB9R/bq6bB5+eCXf/e5xmOYna9/tjkIV\nQswArkBL4DLgm+iwn/vQqZBeBS5TSvWvrCJoUFi6v/71K+y11zwefvjdgM/J+zcqXV1U6sao67zt\nkX+bFPxcGHzgx9561m94zL54E6LQmvX4jQq+CG/h9GfhbjtL3c/535t3sXhtMYSIhdq6MQydKlGn\nIDSAagyjPDeebR9FMnm7y0sztnO6Lmu2GEQnCKkQEy4gfdZtNLY8T0+mhxu/PIX4n+qxX3qE7h59\ngGUpmxLVg6G0ZYtSCAeWPuVwZZ0+/Kqra+CZp2Ngu7o044atOUKfO1VBy4eCmS9btKxB67AXgDaB\ncoTG6FqCoelODEehlEFWxchSQrWXBwKBxMBEUkI3oMARyKyBuVVirNcuC5EFe2ItyfnN+rfPbcY2\nTwMlIdaDYfS4981BM1eGYUi3TaL9H90IocOChZDutbECOSuUGZHbgeTbbITIuuOTW7NdkXHv3/Dn\naNnatbaBPn9SKn70oyc44IDbWLp0HZ8kDTS1oxBiL6AemKSUOgptmH4VuBm4VelChTvQSnlANCgs\n3RtvfI729kygze8n6ttn628rHLu3rVfQfxVMBN479rY43sIpGf3WrFbyQYhZIY9l6PSK3sFKBW7h\n0RCMZwgaU2vlfLb65asrOmifYgVK7Y8O7bXce9SFTtJyGen0XjQ2LsEWNyFGJFBlwFZQDwHfc2Cq\nhHHnwi8WMysxJfebbtz4CHbFsbRTxY/ULZymnuEAPtTroAQ8a3G+7GLGbRra1Xxbktvqs5Q8CiID\nIDUb6xW8Dy0fQv3KEdTNbOCKG2cz5cMuvjXBJtGq4DTgSGAIlAmb0tadPFN1Mu+UHMI69gYEBg4f\nsj9pRtBONQAxMrz/2Hi2vx2nZ6vrkigB9S6wJEG6DRpvSGGrBcApsHUVKOka2FmU2okuBSzd+5ZB\nH3C1+dZCoBVzZ65NK2YZWiudwCfv8lG5g1CNte12v7cAm6jQYOhfxvuCdu1Knz31/LW3Z2hvz3D3\n3a9/otFpu4nTNYFKoReyHFgPTEUrX4C7gJ8B/zGQwQeF0t3TVMzpa9+ntr1jb4uhvqBfeo6+IWa6\nDI5/aQQ64CEM7SiHwNvaAN7Cst7Dtg8BjnHbRxBc6nJ0zTSAs/XBXXU1ohr8GyZRKVH7SUBgn3wa\nyetnAjC3+XbMpsYcb2eop9iXfJpFA0X1mx1cdDBY56VJPdZI0/k2idGA/92aAd4HbEhttaib2cD4\n8eOJlVdxyhWzqJ+vXRIXnIg+6/OsL2CrHJlTuLk2FaeNqryVBmz9xyiyHaXBOR9xP5cksEnodGKt\nq0L3tgchNqICDt6si0TwX9eNLifsu29CRchW2OcZ5Y5Q5OFmfdNAUQd7Aq0wEN4+aRqoe0EptV4I\ncSu6zHon8De0O2GHygvDWrS7YUDUr9IVQtwBfA7Y5JrbCCGGA38A9gM+BL6klAqnCSmaDjxwOJs3\nd9DRoQUuGvai36T+XJ1hqIpHUXk+wxRVIDLYbzxenbP+YWfh0Mu80nacoNLujzfNRztagZYDFjoh\nthPop/Ozpl34UhVgIsSrjBjxEA0NV7kpHCsxjK+4vNnuqXsFQgx3oUxtKNEKp5fDN4Yhy9Ai9pKk\n6kutDPnOdiiFHW1DEdNOZ8xbR/Bf9yc54dLRiEQNa0jzVf5Ij1HKR4xjhNxC5fZOyl5UkAElDBJH\nSBJxGxYb0CLhKAM+K7VueUHAVgVDDGqH29TPS3LA+IlcfXV+l5B6opELDrN1fpkKyFZYLCs/nM2l\nNYxUadpEFdvlMJZ2n8zS7smUGhn2qVhD+fYu1t11ENmnSjCqFHJfATYYL4DsRhfINADZidGzHkmX\nGyJtAp0IsZ58CK9Cm+U7fRA+hXaUGOidSZZwrTP/mur1y1u60cUf+2oLhthGyVF/KRq9fn6Kij7r\nW8b7DquP4qOiIsaBBw7vm7k9TANVukKIYcCFaN3WCtwPnBtx6YBfK8VYur8BmoDf+tquBZ5QSt0i\nhPgxcJ3bNiB69NFLuffeZcyc+Rhbt+YzTfkPIfraAuGGPob9nboCa9+VT/N4xcKKwR4FMzOpwL/6\n+6hflQ8l9hcVhHwYcLQAe7xJvOTYnpWUnzIvUBoT2gaUY1nv0dBwlc+tsRzbrvQ4R4ekVuMVkzSM\nITg3DME4WCFL3bbzYdRta4hZDqpMT7j3kA0knr6C+/64mul1DSxsnsfXT7yRnyYy6FSFkCFG+7oh\njHqwFSFdnIBS8DrwGOAoWrohtdSkdoUkcYBuA6AdEmlApbnj78+ycPlbADQvTNL0YwfhxnY4HSb3\njL2YrFmGFAYGElNK/n3H91FYSEy6ZDnvLT+UnmurMSWgBLINeBFY3oIpUkinFiUS0JUGZwMyd2Md\ntDthZ2599bpsxavom1+/LF5VXr0TiaHxvKLgwDIYrhsUsOisX73LVrSM56/zZDsak1sYBuw9O9Fu\nuELegt8Hx/Dz5vFx3HFjmT9/Gqeeul/hAB8j9fRSI+2j1Co+SoV3NQE6C/hAKbUNQAjxIHAKMEwI\nYbjW7j5ol8OAqF+lq5R6TggRvmMXAt6e+S4gxW4oXcsy+PrXj8a2JdOnP5KzeKMUrFfXyX+CGn4r\ne23+f/1j9FcdAnrLsB+MU4+yNKJ4C1+XDwPumzeI4k3kyqr724SAbPbAXGn12bNvAY4FngLOdK2U\nEheb680lEHvlFS6AtMCstP2FFSg1uliZ2s50N3MXwJLUrxCJagwfgD/WZoNhIRyvTekjBxtaehT1\nJXHqfthA/a1J2JwmMcJ34xyDRJkkUSZp6UyTuqmRpkabxNn+uyHpMssDpzedSpdZz/heRM5WC9MS\nOGsewmpLYVfXwnaIV9XT0FBHMllPeicIMblAwZlmNrR+oEvq5Nt2b/36r2zivXzDFUuiZDxsdTOY\nywAAIABJREFUvfbFW5iPqLp5ft525/lzHEVFRYwHHvgy48Z9ssluoHef7l61h7BX7SG5/7/488Xh\nS9YAJwkhytB+ozOBl9E+uovRO/xvAH8ZKG8D9emOUkptAlBKbRRCjOyvQzG0atV2stl+9kj0BrkZ\nuBOpWFhWNGQsDw3TLomofgNmrWjeNB1JOg3XXfc7ampKmDXrbJLJX7qQNzDN5Uh5FpDI9VC9QJ3C\ndPjUISys15m7FjbP49tN8VxWr34ZBlLKou6H+TDeVHMjiRF2ZL9EBSSw86/1fkhG/AZnQwvxTdNp\nuKaO5K317MgcGywN/9MUtn1c4VifkmwVM2f/WOFdo2LnCFOx9yibdVi3buenpHQH7NNdKoT4E/AP\ntM/oH8B/AouA+4QQN7htdwyUt0EBGXv11Q1MmXInc+e+SDbr9Ath8W/TPfJva8L9DUMUwFk0FCYM\n3ek/V2hw7EJomJ+3cMCCvy3IW+98RPMmAv09QKtuOxLTHOWDvF2JYfyJePyXzJ69D/F4PcJo0dea\nIJ5C+zqlwhAKDEXXpiptbSmIKYdOytkvcRTfaBrLCxv/g282jeX4xCgE0qd4Be37VpAdZiJjvpt9\nCDAUaktsmucmueWWW2iem+TkMpusMnRvAQxVWhotAwyhA7SWClCgMMlSoiOI2iyyKoZUJo6MUUU7\nQ2Q7KBAKDBvUyr9SunY25587Vd+Da+qQhiKZbM7D4+RpYFaDMHyyodCJbYRvrSRe7grD8O5xHtpl\nGB5UyoPm9b9+fv3kD4ooVsZ7k6PCtmg+wgEQ/nn8yJ7dff6kVEydeheXX/4/n0qNtIEGRyilfq6U\nmqCUOkop9Q2lVFYptUopdaJS6lCl1JeVP8xwF2mglu4mIcRopdQmIcQYYHNfF//sZz/Lfa6traW2\ntjbw/SWX/Jl33tla0K8/WEt/NciitlVBKIzqpy1oxYb56SvQoXfgee+Wcd+8mejsYSXuYYzjjlmG\nho2BVhBxstnzSSa1VZpM3o5RNpGGhivzfM5NYVckYCKoLNAC6iyJcbBDbFwP7SUVdO4o5ajqNzjA\n/IDTeIYKOhmfOIgzE+sZyg7G8BomkgwxdjIUC5uSIRnWX1ZD2ZoMY/6yDWEqOACYAee+Bj++J81f\nr2/klB6bFWl4vkdy2v4gSoEh6GQ6htRFKr4E7K2gE16pPJq/xyZxQ+l1rG/fm+FdWzm3/G+0Zat5\ncvs0OmUVwnQwt/cg73+Emru1op07dy6XX345Dy9ajNzWRBponJXCVkmQp4DcBlQiVQbtx+1x7+sw\npNyBLrWTxkMnSOmF6nahXXvCbQPIBNascP089IKXAU7hL0IZfVbRfwBDXzLuz2Tml60o90EUBGx3\nnz/HUTiOwz33vEFNTTnz5k0ruD6VSpFKpQrad5f+L+TTFQQxLi3A5WjAcL/+Db/SjaJMZuBZlaKQ\nAHumGnB0uR0/9ZcVrNBn1v+YvfFmGGUBf6x+eKsJLosFTAEE6XQNjY0vYBu/hEOqSN56lebz1mbs\nfZowx/tyWWVAtDnEDuxGuhIhlUnlg3+k9cXFrKyt4djE3khMxrCFGl+ZxxKyVNGZs3efeKiHJSnJ\n5zLw+SPdRgH2YbAtAyfatjs+vLMdTh4vKDU9Mwk4HPiiCbG8TCzmdP61bDa20A/SdmcE96UvQ9r5\nB0s5JmpxBUbq+VzYMsD1P7ufni6dzAfAzibQgJvOPHOY7v+Vr83AMDYhA9UpuzFNFarCG4SLQW/r\nZxI8FCvOrQPFy/juVQMump1d5s1xFNls9DMeNsJ+/vOfD4yREP2vzqcrhLgXqAVGCCHWAD8FbgLu\nF0J8C+14vnh3mKisLCmqNHkURbmgiq0GHHXA5bUVF67bN55XJ7bJW7XFhgA7juFudb0noRIpR6Fd\nTG3oh30v9N49DTmM7IHoCDYHmIatPgtjK6GygrQ0aPxVCnt0E4xI4GxFY19LgLhCHavI2DF0nl3F\niMf+m3eufYCr6mZwm+vLHdbdyst/W8tpn7Gp/Vo50hKUrrYZ/voWuvYq509rDG6YWcKVdT/kyluT\n3PnoNr59piRxNMQ2wxVnwdJ34I0PoaQcJp8FsaMVrAI2Q9eIMt666FDaDq9i4oZ3GNW+lXRpDZm9\nLL4Uu48n285kkz0GpHZsYCht3CsBK8F5FSivJTnfDVue10xPz3UgToBcLtsN6IPnSnCDKDQerQv9\nOJi4GXdCClchhCpKRgvXD6S0XfRArjRGv+PkZi5SxoutBryrULPd5a2kxKSyMhpN8HHRYM4yJnbn\nkKCoCYRQ/c2xatV2Ghuf4s9/fptMxik6PZ2nqKMwhkEe9L9hNoLwG/05r/zDVqlWqn3xEcRSvsOI\nESlf/zMQAkaMeCowplclOLj19KwPA9gHHSxhuG0x4FAXp2timhLHMdHVewVSWhiGQg6x4IByDEsg\nldBpCy2gFEwDHA+beWkWzpAIE3RBScXMmlt5+7rfUTv28lwV4qef/Dlvvl1B3ZUNNN+eZGFDmgtG\nCugRGLZEmibX/FYw9rNzcn0WLVrEqhVv0TQ+TWJfPWlGGshhEvNgEKaJZTrgCN4+9iCWn3IoyjBR\nJpjSYZMczRZzJI6wUAgy0uSujd9hY4/GpQsEqhuYD2KLQGXc37bmAaz3W7Azx4F9urs+DtCm742U\n7r1ygAyG8RKGsQzHOQKlDgbWuvfaw+k6eP7bKAhX7+unXQh+OGBYnv3GRrEyHtXWW9BDlNz3B6Pc\nE8+fEBqiVl5u8cMfnsI115xMdXX/Wb1cWFvx24DoMdQlqrhzrnvFFbs9367SoLDBDzhgOPfe+0WS\nyee5/vpULulNbxAwb2H9vilv4XcFPRDls8oL3oQCK9YvcGF4jG7zB3GsCVm1D2Hbn3XHfKiPEGBy\nY+lYfitnHem2SgwjlnM1OI4OohDCQqcXBCkFRk0MaRq5xF1Kgoi5nkS/H/FECTG/3SU4rvQVRAit\nMOngDHVX/jT3e55+sZHEOQ7CHcxwHKYOR8PBgAULFvDv//7vrFixgtRdjST2smlZC6mtBqcfpbiw\nRCskgJblit+utDlo5xYmJ3T2csc02WyMwhH5ROCmIV2F6x76gFf1HOVGujkSKD0bmT0UbOlbnww6\n561//WzgRWpq7siVLNq69TyU2i/ga/UizIoNM8+vVVAZhhVYnrcgtMxf4SFKxvuCdBXHW1Dh+vno\nTcZ39flTCmIxgyVLvs3EiaOiGfkY6f+CT/cToerq0kj0QJjCqACvbaBGe+99+wvXjeqnD0kK/b1n\nuN/rOmb+BNXBvsXx2/9FvfAbyW0hTU6MBeCZ1J18Y/5eTN60hatvdPMo3J7k0jNsZv4hxtSDsyTc\naOPEIcDKbdx5ayPZnnJWrFhB87wkTYdqhVu/Mk7dzAamL0giqtIkjtRVfesXxam76vs5Je8p3qLo\n2RZiK1JkK6fC6DwULvpWFu6ATPNNGhqmM378eCZOPJjnnluC4+xX5F0aGBW1fpH9CoMbdk/uo8cb\n2FjRvt2Kilh0h4+ZBrNPd1BAxnbu7OEXv3iamTMfo7Mzm1O8fjiN9zkcTaa/EwVWSFQWpPBYHnlb\nP//13tZP04pc0vE8b/lYem+84LZNZy+bNauFdHoq/rLneox85jBNwvedR47LGz7eelxXhmeZgE6Q\n4uPDBNnqgFS5kuimpVMMYOR/o1XmwIdg+srDVNHBJnsUpnKYnBjLpfMmcNyFYzj3LIuF121l4/JG\nLj0vzT1Pxhk7dTb1D8Rpec3lfwgkhkv+Z7zkjrFtbPzVLJrGpknsC6ltMepmuhnHrm4g9YGujZP6\nwMoVmZxeN5PlKZ3YJ6tKschg+3JQOLbFUGM7wlvrJ1qIN01n9rfGEl9XD5ta9F0sLUHahOTIyO1E\ndJu2Xm17IrNn38z3vvc9zjvvPIYP3wy8HZCtwmKO/vUg8juPomTLixjzX++/zi/PXh/TDLoE8rwF\n+eibt2CjZ7WGefPkPur5C4cGh/n1z9XVZXPqqb/h979fFplq9OOkf+bT7YfOPvtuli3bRFeXtv76\n8gH3B6GJ2uYUXh+8tu9xe0McRLkxwm35wpQ6Lt9CKYGUpUAlOiOYF/as8yzow5uMe+0Q4CUM412k\nnIgQJ6DhgStQaiS6gmIZXjYYBSBAlZaALIH1Ql9SCfIQ9DlbF5gfZRE9knGXfcCoM9fRxlC2tsYp\nlT3cUPYTvpB5gE1yNMutiZhKcnTXm5TUZEhcAIkzbWbeHKOuPh/osPiJRi7YTyI2KDgI2KZImJDY\n34GjAQtqO2w3gY3OONb0eRunzOTU8Q5XNc0FoKn5Vr6ycH92qKE8pD7HS5zE3qxnzAN3sHnx+2za\n74u0HjQchgFDwfpbioZ6X8DDv6VwYgl4uxTkBJRIow/OetB+CJ1+UdN297uRdHUdxKxZ/8/nClqE\nlBNRKl9w0i8vUTAvTY7r4jF8vuDigwmiQsz7cptFRUf2zlu0W6GvtijqLz9wmN9169q44ooW3n13\nG9dff3qv4+5pGswHaYNC6W7Z0pFTuBDGGQY/h/1Y4W1N+FDAo12HjIFSKygtfYHzzz8nokJv/7yF\nD/WUMjDNKl9sfon756cSTHOYezj2D+LxP7kJbBaSTlvA8YBEBwSOdw/W3PElMKJa554Fnbu2C8RF\nkMsSGYPqC1o5/KI3ECWakWHs4OvDf8v3s78m5kKg9nY2MK57I6Z3PwS62niFSe0ZWaZfl3c1LJxs\nI95xx7egpUuRilnUVtokqnRz4gIF+6ZJPdVI00U2iWOga4TJ+Pn78aNpnfw9dQs/bophXDCR2aqR\nDnS1gfdbVrB2xuM0XFlH8rYkXDYOjk9g/AfYz04l+YxGKsyek0T0TEF92IKGh5koNRoh3kLKPKxL\nyizwdmD9bPuIXPh0Mnkbtj0NMDGMbAH+tX+UjXIPN8PWcVgWPH4oaAsjC4qR8ai2gULGin3+iuWt\nq8tmy5YOPkkazD7dQeFeGKgfCXYPMtZ3P23h/uIXdSxatIjLL788l3S8WCq0GAz3FN1rV2jrK9jm\nOEuxrHuxrOdzCWwaGqZjWct815UQLl5IuaGtQL8bbRyo4fhy5CjK9uqg24z5wmcV7aKKZ62T84lC\nbBBvK9R75AC9UkB7WYxzEha33Zhmw4eNLGxMkygnB3NtWQ31y+KMOXOOz/UA9gjBWd+ySF7hkDhG\n/4p34ofQvGhfXkjB5NoYp19QxRvZI2nvKc8roMUv0nClWy5oeh3W8hR0S+Q7rSDPIC0Wct3s5ykt\nLWX2L05xyw55sPE/Y5q/RofOe6ST9ATpSNLpc2lsfIR0ehowEW219icj0bQnK5vAnoeMFfI2YNaK\nniNctujjJgerqL9PgwaFpbtw4bl897t/pbW1i64uJwc58SxZL6mHv81P4TYhglaF57cKtul+fqHx\nQ2z81SMArr++mUymFjisgA+/xV3I2wosay22fTBCHIlO/ZdXlHnebLQ5uYx4/DEaGq5i9uybSSbn\nA54FdhHQgRATUWo4OvNVFlFaAvuPRFVaGho2DEQViGkgR7qohaFQNbSNvU9fhVWVJWOU0UMpY9jA\ngawmbY7iMfM8Ho+dzbdf+28mLHkXpEHLG4rUByYnXQKnf6MC3Epjp1zk8Lk1nZh/BhzXt1gNKWFR\nNyPvenhq6SymNlrYccAQ9Byp2LR5L+4r/zJLFm/ktRmPMqNuBnPqFzC76yqy515ED2XILPC6Qff7\n55H8oxvYMb8Ze9xN8O2PMNx3lWQSRsnjNPxwim838jdsezPx+C9oaKgnmWwinS7BMEYjZQdC6Og+\nXSTS84sejW0fhRA2Ortb0D2VD4MtRrb0wZtfmfUmK33JUV9y733nl2fNh78tmjcvm15f4+6J508I\nKCuzOPro0dTVHc8nSZlesowNBhoUSvf88w9l9eqr+cEPHuY3v3kNKYNZ86O2XeE3bPC74JfR/rBC\nPvzdwtUjenpOR4jDAtf1xk/+s98ffBvptECpI/rgTWFZqwLpGa+77vc0Nj6JbX8B7SAd5v4ZeT6G\nlUG1PpjK+XVPBuWiq7wZRp/yEV3PPk5P6lVKaycxJHEa+/ERFjYIyGICJuOfew+hoGWZZPqiOHVX\nNdDw0yQ31HQyLRHTJXrelZgp6VaBcGfYF2qHZ6lf6LoeFiaZO8vBHm2554QKDHhs7FmsFXux4bkl\nzKjL/9afPrscce7Xcnej674hMOrzpCcaNP4uhT1hISw+GlC+8mkKu2sKyeS17lrNx7a/RCz2DA0N\n9T5F/BKOcwbgl628plDejcuF+AYp36cY2ep/pxUcM7qtv++DcxaOX2wIcX+8DfT5MwzB3Xd/gS9+\n8fDCCT5mGszuhUGhdEGndzzllH25995l2Hbf+518ztlg20C3cNG+r0KcbhhiE9XPz1thBNoj2HZQ\n6YbJtg8I+Bel/AJSHhO4xjAKi0yGQU2mocuP+anzb0/hNC7gmrp6bq3XLxSR6B2w7kcWALyY+gXT\nfKgsZRmIniAjiRNNMNKkljTSdIXN2WdadIctI2GyuuUNWt/fwrw/zmf58uU82NKC/a1vBjwjud80\nLoE9LqFjh1ldwKcQ55FOv8Ls2TcxefIx/P3vd9PWdhzJZAqAZLIJ2/5mLz7PZVjWB9j2gcCRGIYR\nkQ83WjEVQ/3JSL6t0EqNSsXY31nFrlCxc0T1K+b5KyuzOP74T65Ej5/+CRkrgp5/fg033/w8nZ39\nJ+/xomA88oDlQYhLIQQrD7UJ9o3aYmmhGq9L2TA+AF73KGqr5ectWITyNmz7gMD80dnLjiCdnub6\nF88Fjg7x5uCEtaksTELtdIIIKA9F99OvcE2dtv6uqasnk3qVLGZACEyl6ImVooRB7YE2zbclufzy\ny7npptmUleXdIrLKRGSd/KEdIG2BEg6Jk2Det20SJ4GyDYI5I+DdluW8Wf9Xvj/la7TvbGfRo4/Q\neO21DLv/fpxFupaOrk7lZj7zfjuAKULrp1x3UBcXXZTg/fffZ9asa4nH3ySdPofGxjdIp2cixCkR\nPs9lxOMPM2fOOcTjDwPL3PULrosfjgd9r1/xshWksKXqbc/9FCX3fqhZ/7wF28Jz9MZbmIp5/oSA\njo4sDQ1/Y/XqHf2OuadpMEPGBoXS/frXH+Scc+5hxYp0QMDDCwtBXGP+O1HQ5lHYMnU/FVznf9C0\nH/ZxRO5IPsq3l28PC3V+yvFs3VrrVho+E31AA/q250NG9XhlQDVClAJHYNsXIsRpQNz9TqCLVY4F\nSjDcGyFKTKgqzfMkQFSgi0uuBmwFhqJsZA/2aacyt7mJW265hVubm9i/dizH8Bp78xGmsrFkluM3\nv0L3ESWIEZA4Ci49Is1jjz7MtdfO4sF7qnnsf7IoJeg8sIy1C0fSfXQZygJnmMG286vYeNxweqpL\ncIRgZ3k1zw07mRfFibRThY3JWvbltVRXzq0wedJx/HDmNfqgrO5KjKefQ2VAvRRDrQW1Q+j8Cg6I\ndQJG7g2l/moYNrAV2z6JBx5ooa7OPXRrmEEs1oFtXw2cjFLbAeVbPwPL+tB3UHkVsdh7aGSIX2ai\nZCt/AJm/Lvyd7+qAbAVlJUrG/bLlUVRayDxvfuYKeYuivDxH8Rbkw/+5r+cv6MPWbQ8+uILx45u5\n557X++RnT9NgVrqDwgZ/7rk1AQu3r3R3ffmu/EIThdP1+voP6vzYRN0vjMvVFm+YD7/f1jR1Uhuv\npppHeo7DsO3D3JYMhlHpC9cFjbPNV3SQMuYe+JShUzmClGUIsT9KDcWDIUgJHD4MVV6SeyKUAo5B\nV/QVwDYwrCwjvr8Za0QWmEr3UIdfpR7h800TmJp4P8fraZueZcLa9xnes0P33Q+IQ1fKYsbMvIvh\n+b/NYcrnK/UE42HdglJKNmRwRhpgaT7Wjy5lSeeJ7KgYluNtFQewkkPYzGhE7WvMq9culFeXvcVb\nK98DILmwme7PLsSsG4qzQd8PBfAusB1kN4CFrByJwEZ1tfvW4yTa2j7rS2m5kGz2q8Br5LHQ3rpV\noJSBbU/wuXIWkM2eji/3WmB3EyVbUZAqfwivX7bCboC+UilGGQ9R+USK5a1Qxnsf1993V58/j/x8\nZLOSbFayZMk6Lr306MLOHxP9E6f7v4SUKja7mEfFpGr05889Em22hQUiLPhV5LNdeTTMbfNdWxoL\nmiMWuqhIl++yEoVTamC6FnlZ4izGJ+JM5kEUbTm7SBgKaRnBTIUxqD3aDhyM/WuyBAcT0z3KUsDq\nseOIk6bM7WwLi5WVh1DDdixXidlYrOIAKuhi78SxAPzqr0vouOQ/aRti0vhCCvsbTVCRQD0duh02\nfl2oSXai4V/eKbVCiC+TTu9NY+Oz2PZXgePQGcT8pNDZ2kqBY12//RMDqvrcGw3Ux/pJ0GDmbU9S\nD/0n1/m0aFAo3S9/eSILFiwhm3WKTu/otxz8fjcpg4ln+q/kKwKWSN85clf0mapx1qwWstnxPis6\nrJRNpJyAzq1ais4UlgWy7uc4hnEQUla6vHUgpUCIQ1GqDB3D2wk1DmKfSpTpHjWZQkcZTyK/otsU\njLeRk2H7zhrMdsmoIRs4vfwZDhUr2MxItjOcOJtY3rKaexa3M/H0gzjnjCM57r1XGNbVCTFJ4gzA\n2spjb/ycq+aO5PAvjWSTEpSLHtLU8BIn00k5AEfwFhks/kqCLrftUFbQRTmvcSw2JgaKoW3b2dr6\nbdZ2jEe1mYh2gT0lgbEJ5Fsgy8AoAbkTjHb9mmIoGA7IrdswOpYhe7S7wDCGIGUlQmxCJyGfjOMc\nh44A7EApt6olHhTMXwO+CjgA2x6B53rwQ6n8n4OyVVwWrrBs9Sa/uyLj0bzpefrnrTAac3cO4sJ8\nRj1/5eUWpin47GcP3r1JdpEGs6U7KFI7gk7veNllD/Lii2sD25Uo/5bXPtC2/imoXL22wlSPRKZ/\n9Oa0rMeZMyeRS3XoZRrTVI1X5VeTia6B5zpmAV1hdhx+17sYplAHAv5DkYnAiaD8cjYxixgnA22X\nj7iTA0pWYYj8HjHd8iJ/qn+f6XUzWdg8j68s3J+bR76MoVSuFE/GirHk+KNRvpOS7QznWU4NCHcr\nQ1nDuEBbN6V0UoH0/YZ1t+9P6/MjkLbvSCELQoXWapU+UMu1KQkr/kJwZ+Ap1DwJYaNUV6itC2gL\n+T+9tIuFW/c9IVu7Mg7sWRkfiNzvad6EgIaGU2hsPI0hQ4qzPPdUaseD1JtFXfu+OGK359tVGhSW\nLsABBwzn29+exGuvbcxVA4ZowemvUq+fihG8QgEaj1IT8D/cUW4Hxzm7AFbm5633TGNRvInQv6CU\nUcCbEkLDwfzjmMCyFqz3UtiH1MLRCcwYOKGXfbnoCShcgHdT2wJVfp95+k6MLwZLPSrDVYi+NgcD\nAxXgw8FAhM5mHYyAwgWgywoqXPRrpWD5wkrYawxRwT1SUWGyhVVs9QMevB/FhJD75+mLoizJaN7y\nwToe9Vepd3d5i5qjN97CVOzzV1ERo67uhKIV7p6k3cHpCiGGAv8FHIHeaH0LWImuBLwfuvTIl5RS\nrQMZf9Ao3Z07e3jooXdyuXT7ok8jzLJ3t0Mw/WOw33hf/twz8Gcai+Aisq2AN+UqJ79WXN1C/O16\nGq6qI3lbPWnAOepcPaTvuqwyCyBMh9bWBPLmfqVpf5QQiICmgLAtIFA4EeCXsOs1h/jy9ZemdKFe\n+UapIi4M/4BeqJj1A5ChU6CoHVgxIeS7QsUcikVdV2wI8u7wVmxgRzF8RPXr7Mzy0EPv8L3vTcY0\nP1mg1G7idG8DFimlLhZCWOgyI/8KPKGUukUI8WPgOuDagQw+KCBj//ZvL7P33reyaNG7ucXzw2ei\nICwDafOPGYbnhOfUtIJY7HFgBYahUzVq+FfejZAf3+sUwzAs3zjjse2zMIwJueuE0JFfQhju/700\nj6sQIosQXnVfXe0AJMJQgEJ0g9oOyDyfsfdTNFzlQqWuqsN6LwWbLYx2AySYSExh87I9me2McK1P\nkywxZOICPtd0JE9v/A2XNO3HlEQNH44fi11mIQ0D2zDpiZWjukFi4GCSIUYrw9jCCGw9Og4mXVSw\nk2pdI1gZSCXo6KmiPVONVAKyBrLHIDa6x01NqRBSQVbBKhtjuwRHIaSEniy0b8bIdIFyEMpB2D1Q\ntjdCmO5vlwjRg84Y5qDDepV73xw8P632/Rrk3Tb5NYuCbkW39S5HuypbvcEP+5qz77Y8v1F89FZx\nuFjeBvr8KQXXXvsk+++/gCVL1vJJ0kAhY0KIauBUpdRv9G9QtmvRXgjc5V52F/D5gfI2KHy6Bx54\nG6tW7TkA9a4eUkS3RZfr6Z1KgZVY1io3COJQhOgJzVGOENXuoZh7CIaBzlBTSl4pTECndXwSy3oB\n2z4FKi4By8oDHww07LcMSLcQX1dPw8w6kgubSX+vCU7ToWOlVR3sc+gHjKrYjGloZT6EHQxnJ2lG\noNz37mdZxFSeIc5mN2JXsXP7MLYbw0kPrXGfJMUSTmIFh7GWfV02tPhuZhTtbs0xAwfRLtmRHU5G\n6a2l2Z2l7CGH1hdrkB2uFdIq4T0b1jh5E3loF6KqHbV+R974ryjVp2jt290GhRAfoFQaPxxMiBGu\n9erfLWXRh2dBR0j0ziJIe+IA7OOi/228XXnl8TQ1nVdE3z3j0x2lVhd17WaxX2A+IcTRwH8Cy9Fx\n938HrgbWKaWG+67bqpQaMRD+BoWlu6dJFLFkUdcE0Fc+H25Dw9VY1htYlrZ6I3oCK4nHH2POnHOJ\nxx9zrwtPYiBEua9doCFPZYFrNR9PEI/PYs6cA4nHZwEtwdWSbjcTGJ0gvXcTjb/eSPpf8goXtK4a\nVbYlp3AB2qhmC6NyChc0xGYorfikj601w9k8LO67MYJ31aF8pPKZ1ra2vMTyq+9ly1+W+Fgz2dQ+\nOqdwAWwnxvbFI/MKF8BRsNYO6sPWLGLD9qBO7NzpU7jefcvgV7ia5W60kvVTN4VOj4FcSUIIAAAg\nAElEQVRrnT0hW3uCBjrHp8XbJ009mZKi/iLIQuOAmpVSk9CQl2vZHaGJmOBTp4MPrmHz5o7cAVo0\n7KUQAhaGqngUlefTT0IUgry9Nq9f0Ic7j/LyDLNmfSOHxzWMCS4fK4nF1uE4WwOJambNeoRs9kgM\nw0bnc60GRiGliT5dl8BYYH/IVandhhBxpDSxrKdpaLjSd3D3LE7mC6gyAcPBnATOvmBkQG4B9k0g\nRyVgCxjPgzwCKsftZO+D1tBmVlFGlhI6MQCFSScGJThY9HAgHzCSNM9zEvuzmlFsIsUZPMjnEShO\n4QX2Ux/ymHMuT8paDBRxcwvdf3ySjoZ/49rpV5L8wWzaNsYoO+8sOu8eTnZJBeahDuLL3eCA+k0Z\nrAejHGS5gm2diNfTqKwXMFINbAFWIGUPQgxFqWHot4sf5uUgxEaUakO/dbJoeJhCylaEMFCqAnAL\ndMpS998s4LifCysgfJyy5Y3h71esjPfGWxQfnzRvxd6jiooYBx9cE83Ux0SOHa3a7Geex3n2+b66\nrgU+Ukr93f3/n9FKd5MQYrRSapMQYgyweaC8DQr3guNI7rvvTa6++jHS6c5+BSf8XRQeMl+ht+/K\np3nBiaoirKPNpNzKjTd+0wf90sgFpd4jHn/KTTI+n56eDLNm/djNKDYNOALTBMcZgRCluYMjLaRH\nYRglSGm6czko5bjfCeBJ4vFf0tBwJclkM+l0E5DQevrzICzfq9fnh1PuvyPOWc+oaRswLNc/DJTR\nQanPEjSA82hhJNsw3S25CdzHxdiU0uOmnzGU5LXsUZhAxntPbxd0XHwTcz43NndfZj2wgezYeboy\nunTdJw7wUQvWzhR25VREPIH6YAtsaNWWbu5+rEbjah237WUM4wMcZxJKfcb9fQqlXnWThHt+b4lS\nHaH1M4FygmVkdJUOb7372p5HKaD+lFKUHEXJW3iu/ubPrVUfynEgcp8fN7p69q49f4W8eXOdcMLe\nzJ8/jVNOKS4P9Z5yL5S3hoNioqlraE3BfEKIp4HvKKVWCiF+ik7fD7BNKXWze5A2XCk1oIO0QWHp\nmqbB1752FD09DtOnPxKAjIUpSnjCDwD4K/SqQF//d16btgCCkqTn8JAJKyKRC7HYmoB129j4O37y\nk0fJZLTC1XOBxtvm11UrglL8iWB0xV/pUxJnkk7HmDXrTbJZV+ECVOhYiMCGWeQ9xN5vqhjZnVO4\nuN/FCJo5EhhCe07hgh63AzfM16VuSlEYZHzuCLvdQh5wOskFbq7bBc1kJzVp3nIJeQSsayG+aToN\n19SRvFUjK8zMZN8aPIlhLEWpfVDKy6b2MjU1d7sVepvcSL/P5Py1/ixgev16g1cFf61fboqFc/UV\nwhtdCaJQtvqrUAJBXqKMAF1hun/eipV7KB6W5qfoe1Q4luMoKipi3H//xYwbN7TX8T4ucuzdCo6Y\nDvxOCBEDPgC+iX6T/1EI8S1gDXDxQAcfFErXo/ff30Y2G/a/FVKxNaeKpf5hPRr6pSPO8gdq2ex+\nBWVehChM3dg/b49jWUuw7cnoAAmPziab/SZh13sxif6jronmorj7FnWVGp8gnTVobElh1zZBPIFc\n47tgYwsla2/g/M9Nzb+YfpXCkZPdC/zW/ELS6cuA47Gs5TQ0TPe9zF7Ftj/TO28R97eYHAEDhXPt\nChU7R2G/qN+0p3kb2HNU7POXzTp89FHrp6J07ezAla5S6nV0XawwnTXgQX00KA7SXn55HSee+F/M\nm/cSti0LYC1hKIx/e+WRvy3c3zAKoUGGUQgN0vAY/yFX/lovzaMQ491rBXAY6fQ0Zs16JOdOiOID\n2tGwJW8ugRDb0KfwjxOP38CcOYcSj/8SeNLHRxbh5mcUAgwL7UlqJ6dVhYF+dcbcz4CIKba/FcfO\nxkAaoEAgkQiE7/hMAa8yiSwxXmnZyH0z3+TvLRsYxWbtplCAEhjKoURm9TgKDBuM4Q5GuYLxCexz\n5mEcmtAuVuXeuY0txNfUc8OPLs6XO7q1Gbv8dNSwahAGsdjSnN9alyN6C8MA2z6cZHKhmxKzCcc5\nNg8xE1W+9fPWLS/G+r4FSyDp6zw3TlA2wp+j16+wrS/Z8stRtGxFzx0t433zFuSjkN9i+fBnMdtT\nz5+UijPP/C1f+9oDbNjQVjDnx0nSsYr6+zRoUFi6l176ACtXFvpg/NutcBv0D+7ubcun28B7KPPz\neGG5pusOUOhaWeG5TXRMvwkcQTZbaN3KXASD9oRCGilHAkOBuNu/HdN8MXRgthTb/hxKlQPPYlrN\n2NlaVHUCNQyIg1qOPpc7Ad1W7f6SDgWloI6CjnHVrPjoKEYPXcf+Ne8xnB2U0YMCWqmmiyq6qOB5\nTuXJlm666hczo+4qbq1fSBlphibGY2QVHU4F67v3xlYxhJCY2xTO+hg9b1dAiVuT7QOQm4FN7j0y\nwVqfomFmvlLvT35+P5ma+bDhLGh1gDjZ7EkkkzcA3k7h/7n36ng3qOR5bPtSYAK6EOd6dDVk0FV6\nJbr8vIfBzdc1U6oTbVOUoEsh2b3KUbHWaLGypVTe8uurLfx9FD/9WexRfPR1XW98FJv1bFeeP8dR\nOI7DH/7wJqNHVzJv3rTCH/Nx0e65Fz5WGhRKN5sdeGW8KMf+wKsBmyE/oOjlUMEP++qVM3QSG+//\nWgmb5hgcJ29r2vYkkslbAEgmb8e2/xXTGoZjP0U8fhUNDXUkk/VsrQQ10le2oQ0YQ7CYcDVwjp81\nQUfnEEYO34olbLcFLCTdVOUiyjpSy7jGVzZnXupVVOI0NmVHsq0nf+qslEHmtQrsTRa84YYdH1yL\nWJ9Atfv4cMBeX0syWe/+rmYynQuhcyp5b7QAppFOr6CxcbGrcI8FbEyzBMc5Htv2dnhbEWJ7YB0M\nQ+KvNafvrZE7YNMkEaJ7wFvwgfg8e7tmz1c26b+adbH9wuiDPc2b46ii3IZ7lLoHhWqLpEHBWVVV\nCZZl9FumJ4qiToCLOSn2st8HDyFs9/Q0rxSjT5M70bfO03gZ9Ol4idv+Fpa1Gts+CJ3OEaASIQ7D\ncYajoX9ZNIb0QNLpb9LY+Ca2/a/A+Th2GbHYYhoa8pZi47wUjpMgZ9QB/BU4EDgcHVtRA2xCBy1W\nabZ6lpbzzPozOXTq2+x99Ed0d5XyzqtHkN46kvhxG6ncpw3jxBNJ/lAr/rm3N1F++9V0bapg+9Oj\nsA0Lc1IGhkrUBybO3w147y/EX5iuw47n15O20KiEIWj/w4YMqDNIp+fR2Pgctr0A7Qd/CdgH2Mv9\n/e8Ch7sljAQa+tWK42wGRqIPjbMI0V6wfhp6Z7iWrwQUjiMjD8cGQlGHq1GyFUVRsrU72caivo+S\n8ahqwFEHbVFQs4FSMc9faalJVdUnXCiy/2wCnxoNCsjY6tU7+MlPFvOHP7xFJuNEQnKioDDRcJ5C\n+IrnY+oNauZdEz419j7739z9p/V7j3j8cRoaZpBMziedvgC4BDgUwzB8Av4mGpfrbesMtJ9+KBqO\n0EJ8xHRt6d7aTLq8CWNYQvcv1UnGpALTAmcc8F3t85UCDKGQ64HXtHPDsQWxEhtqHJyhFgKBIw1M\ny4FhElliwksPYb6ZwjnqdMz9z0e2GyjbIFfYcpNCdAlUVhBbMoPZX85DxRpv2YgcPg/Z7cDGTgwU\n0saFy20D3sA09VZTp7XsAdrdtfIUZYfb5q2p4bpgDN89Cq+fl0+hE69sTxS2tL/1y8tWXgFFyVZv\nSrN33oL9+sfkDpy33qBfft6icLV7Qu57e/4AKitj/PjHn+Hqq08qSvHuKcgYrxep147e/fl2lQaF\npbvffsP47W+/wFFHjeYnP1mcS3rTGwQsnz80/zB6C99X1vsw9eUb8wtXWPDCff1tsdjrNDTM8Plo\n78VxrkUpM2RR6Hywfj8xDCF3tqkuJN0qmDUvRba8CYa4CtfIK1wAxwbGgTC1wgWQSmBsVEhb5Dbz\n2YyFUWLiVa3QfU19+iYFnHAh9gkXAmC/p10hmg+01dAGnmxmqSA51y0NP7cZ22zSXoNuB0MppDup\n4yzCsh7GtvfBcY5375GDYXQjpQyslecGyK+pd7Mikv7k7jsF1wxk/fT3KzCMj1BqHEodFilbUXz0\nx5tfIUXxFgx48Mu4HiMv934ZL3wJFYNsCJ5n9M9bGJ6W562456+01GTp0u8wYcLI6Jv0cdIgtnR3\nS+kKIT4EWtH7u6xS6oTdGa+yMhZ5slo4b3Tb7mwlB9I3qp+UigULNKZ3wYIF7uHZAMlMYI9MFLiP\nhXfG1zd3RbWJXNbcfvqueghrYwpblBNffw/nnzeN2XNuok18H2ryvub82iwiHv+x65Ne6GJto1A4\n+X4DX79glebi+3lz9l2iaU9TlPwW16/wd+5puR84b9E7ybKyT8mu67++7adGuwsZk0CtUurY3VG4\nO3Z0c/31i5k58zE6O7OYpl75YJVT/TkcTeZ9539767bg//0UbvO2V/7vvO2VfyzvLe/NGYb16NLU\nx9Le3sOiRYtob+9BqZNQaguFEKbqANRJ38puDCNv4WGDcvKLJIS+zHHI5TA3DGADKAleV0OBHIb2\nUrjXmQJkh+7v/XzxegvmnTPhpZb8velx+/mFdlkL8X/UM+crY4ivvZPzp03lv//7v5nVeC0xqxM6\nWojtnAHOwzg2mKbCsp7L+aQbGqYTiy3XfJjgBYX410rKWEGbPggLa5RwlVytiPpaP39b1PrFYuE8\nGx8FZCvKdeAfN+q7HLcRsuW5yfzX+6/zy7P3vWkGXWG98RYFieuNb8+9Eeatv+fPbxWH+fXz1tVl\nM2XKndxzzxsDOq/ZLXKK/PsUaHdfQ4I9gPU955y7WbZsM93d+i7kt0p+iSrcFnoU3eb26mNLGLW9\n8lN0/lJvS+X/6QqQKBUDjqKtzeSFF9aQzV4MnA5sBXoQYhxKlblb/GNQahvwvtt/HLAZKatAjEAY\nQh+arQY5BKjRZ1SqU1+uKtFohWEuC38CdQxwEKht6P1HHMROUF3gdANp9NnUAcB7LYxo8eXgbQeO\nSKB+DywFdRgaCZEF69FU4FBv9pybOPzwW0gmm8m2fZX40HoaflRHMnkVaWYj5fkodTLJpL5eF338\nNhrS1YmGXoDOrvYGhvEOUo5Dnwhm0JF52leri3N6Gdh60NAvCyh11y8LmIRz5frXLxjtVShbUbmS\nvaTifrnoy4XlUV9b92g+8pSXrUK3V385bMMukL54ixoj+lnw81H4/EW1hcfdsKGd7373Id57bxs/\n+1ltIQMfF/1fdS+gV+Uxoc2R/1RK/Xogg6TTnYHk5WHfk/9z2FcbdVo9cMhYdL/CyqoejtfjzUBX\nmPXajiCbPR7DGEc+1PdJTPNdpDwHKY18ykamEnzldmCWVeJ44d4KaM0fkuX4aAcmg/RWsBvUErTv\n1bvOAlkJYqO2hAHoBLUKSt7M5+AFaLwzhborgeNZuCtAvAkqCzZB+Ffbzu/Q2LgW256LZT1Lww99\n4zS+gG1PA9bS06Mt/p6eDDpyYlNIofydeHyRm7viNtJpUOowTNNfK89BH5T5188OwZwEYAZyMvS9\nfuG28QUVQKJCW3uTrTAVAxmL5iP4r/e5GBmPahsoZGxP89bVZbN1ayefKHV/stPtCu2u0j1FKbVR\nCDESeFwI8bZS6rnwRT/72c9yn2tra6mtrQ18P1A/EkS/0YvJsB91jcbo+h2mwrVe+9uLlKCxu9pK\n01Tlbpkd4CXi8TvcXAKNbmKcBpLJWaTT1xOMLjRwMpY2os08O7IVbfCpFiyZwi6thfaEtly9Q+Fu\n4C200TyEnMLOJeTyigl/AJnWWpILXEW6oBl7SFPBnsUFD0BPwlVKT+VgbbZdAwhsO0sy+WM9TvJ2\nbHs20IFlLWHWrB/5kgS9gm1/EdiBtlgVlvVeKHfFI9j2wQWKE8Lrpw+98taxvkn99+uLghVAoPjd\nTzHXDBSjC8XLeBRkrDjeBsxa0XP0dlaTSqVIpVIDZ6A3GsSW7h6DjLnZeNqUUvNC7f1Cxh555F3+\n5V/+yrZtXXR12QEYih/2Em7zKNwWToDiLXjvbQYamuQfL4ZSJiJ3aqVTDAb5sBCiBimt3CGHrgox\nCq0JDZRSxGL/zuzZx+UU0KJFi0ilUjoz16yVOM4sV/CHAkN9vAmE6fp1DZCqheqqK5g0aSKvvvYW\nbQfdAWMSCANEBmS3q34MECPQu/duzbpSINpALWkhJlNks7UgwIqnsJ1ajJIE2JAL9PKF2UpHwc5V\nYK/FMHSZHX1vKlBqJ/A8sdjrZLPHYhjHIuVOYCnx+O99SWu+hxBTUEoixBbgPZR6i3g85TvAqkWI\n8QUYWX0/lHuPek8un1+/FcRiH5HN7osXth2WlWJky7OS/d8VL1uqoG/UXPlxC+eK4jvc1jcfAIX8\nKqV6vQ9hyOVAePPukRBQVmYxadJY7rzzQg49tP+c33sMMvaXIvXahZ88ZGzA/lghRIVwA+GFEJVo\nD2BxJThDdO65h7Bq1VVcdtlRgRhw79/etjbh77y/sFXhh7dEt72DZT2KUm+743kJDYQ7ZvDUOD9n\npWvNegcaAhiJUmUoZeTastkTSCab3FwCt/Hqq2+6n28nmz3RVSYG2kFrIKXIQbvcTId6uyvuoKoq\nxnnnnUdVRQxj/R3av9sFsgtyhRwdUB3un+Pj9+UW4pX1zP7FGOI19TpyLDsPSCAzrsWjd+ogNCxN\nKkD1gP0R2teq0HCuLLqKiQJOIZv9PnC02yaByaTTX6Wx8UXS6e8BU3z3No1SNjp3hb8E0mEo1dta\n6c+FyeU/CsmEVsqzZyeIx59GqRUBOQmuX9+yFXZp7Zps9T5XFB+9Xd+bjIfHiuYjmt/wb466D33x\nFuYl/H//Qdvvf/9FnnvuW0Up3D1KdpF/nwLtjnthNPCg68+1gN8ppf420MFM0+DEE/f5/+2de5hc\nRZ33P3X69NxDwDQXgXAJkIRAwl0j4BpuCQSJqIhyFXd9991HDCCS9ZK4ujDBheEeYN1VXxAXFV8R\nBAIiAkEQCAjEEHMhuBGCXMIkATLJJNOnT+0fdapPnXOqu8/09PT0Yn+fZ56Zqa5z6nvqV12n6le/\nCz/+ceWTTmUlIBNl1W3h4isngANwHK1uCBE32YmmUDe5xa/7GL29TrDFvgSAuXP/hOd9CzihLLu4\nAfxFFxkZia9/sqjMSOisSSpEWkT0QGzu3EUUxCzktntwWYTHNGidhRUWBaHNfTTab4cHOtKuMnXU\ntj6t/GyHXiY1W9ZmrTaIj5tSZk5pM+6mQdo24n2Z1gV5KNxsbdi42a5L8/1ra3M55JAPVkduqGhg\nk7GqJ10p5Rrg4IoVU+Kxx/7C5Zc/zpYtlXsr7sqot6OVPG1sHjmmuRCozL2FwgHBoDJ3HclBpVZr\n0XrKlTjMdKva9HGcvyvG4VWRtD4R8VBT12jDc7NM30PgeX9PT8+XAOi5+ga83W/W1BJfvIKHCnRe\npCYZyHyMnp4L1PU9N+F5C2DrPeQ6ZjPnkvPpuWo26wck0p2FkwG//95gMj4KZM7a5+aLRwibPs+3\n9JEbeYENTn4TWb/ePPSCTOYhPG8sagJ36Om5OnjGMPaxjVspfWT8OeNjJm0WhbgaoXQfJV9eNrfh\n0tzSZZ+wy68ytzR9FJef4wg2b85z8cW/5sorpzNu3A6lbzgcGCFzsDRoiNCOZ5/9S2bO/AmrV28o\nDlxI6tcg1F2Zg1Fn4o2vFFS96MomjnxerZzUdv86PG9PlBnSFhxHh1V0UPZZH8BxskbZANCHyt4r\nAxvbtUj5OmrvojPTbkRKFd5RoQUinlYiuL8ukKjJqg/lKrwtKDuF3t6bmXvZm6z/wM2w0yyEj0oV\nto0gFCM424BVIF8CMaB0BM5GHxVg5hrmzn2D3t4bcJxZuAOLitYHcy45H9f7LbyzAbnpF+TaZjN/\n3i7kWr8C/BHHaSnyU1G83kOIfMAtj5TrgLdxnHzw7D6wAXgzqOfjOJvRuvFq5SeECrMJkMs9xvz5\nSpWg4vO+zMknn0R39+X09u6Lztoc7haSYyHN2LJN0PaziuQgE0Zj5q6lNI+wbjpuNh5hWbxNs8zG\nzWbra+MW52E7kPvVr1ZxwAE3c9ttSywchxHvU/VCzfDkk2sjK9xyrrxp7HTV9lUm7qHvG33rh+ZC\nhcI0YD/UgJWBTemuKLtQPbDagPXBSlYAL5DJrMHzxuP7OsTjBpSZ026hblZuQaVn3wk/sPNS7W8H\njEbZo+pVyrv4/gChHeS7CPEBlCXFLLy+WbDyHtxNF+O1T4PtlUpA9gNrwddd2QfyTQneAP4W3REz\n8byPo1IFge+b5mA3kt/cDXhk8g/HTMH+gOdNw3FeD/pF9+UmVJSdfqNsHbCd0fceKqfZe6i4C6AU\nID5aT1yN/DKZ6C7lX/7lpuL/kyZdGayG7fdIM7bMAz1z0q50D13HLIuvWm2uvGH9oXOz3SMew8F2\nX7N+JW6l7qHaUGWeJ/E8j2effZ1zz63Zxrgy3scmY+8TKL2i3XTNDOulobfLy8jlHjTsTCVhVDGB\nepW6xvU+ylzK7PaBoKwjVlYg6nzxLmqCbgHuIZebzZwLwhQ4bD+LwKktSlnmYcs7wbXJVQ1oc7CF\nFApfB1TMU887kp6euQD09CzA8+agVrjaLM7k1m/0iVnWGqsXVx3pF1d1Ssm4fnfbtn2taZXqjWp1\nrPVod6S41R0NbDLWEJPumWdO5uqrn8LzCnheVEdmwqbPMv/Wb3G1WrTptmwJBVeRybyK541FyonG\n/ToRYgfMMI9qu99X1L+67n/H7EwfxvMOQYh2lAVDPypaViuZTJZCYRO+34fjtOL7Y3CcAXz/YVx3\nCYXCUUh5JkL04fsDKHWFi+/nEeJtdMJGIXYhk3kkeiB2+SK8/CzoVSoGCeDkofAq9P8VlUMtg5R7\nFVfaoa5xI46TwfMOCvroYXx/Hxyni97eTzJ37iMUCmcCB+I4K/H9rSjVgYuUAwihLREkoSFwHpVk\nciWu+waeNx6YgErOKYEBVEJJZSqheHhFuaSX30TWrxcRp4be3t2KaZWEmGidZCodPpneXXG96WDG\nVtpIZWm4xce4jZv5t51beX1zJR7VfP86OrJkMoKTT96v9EMPB4Y46QqlP/wD8JqUcpYQYi/gZ8AO\nwPPAOVIN/EGjIXS63d3HsnLl+Rx11NiE7krbCZplcdi2Q+EWUBplMvIbVjJmzCJDJ7gyKG8DPhBs\n+bXubQtCbAL84j09bz96eq4vmoJ53n4o3awOcv4HMpnbgGeNbZkMJq738P2HyeVuZP78Qxgz5grg\nDqTU+lvw/X7CbAk+eqXsedPo6bkpaPcmvL5piLcp2uMiga1rEFtfCwr94B4dhqpEH4DdgzoTVQ4g\nvr8eWIrvbwCm4HmnIeV+wKsBH913W4A3g/vqF5iHWqVLpFxBLreI+fNPIpe7D1gWtKdXtzb5mbJK\nIz+QckKg39X2uBOL/0f1jvZxZN/d1IabTYVgQxpu5bb8aXnYVAOV2hvK908IuPDCD/P661/lxBNH\nYNIdmk73QmC58f8VwNVSygkoD59/qJZaQ0y6oMI7nnfeIbS3RxffesVhIpOxm2rZDztKt1nK5lNK\nikE/wvvIyKEDgBCTg9Xgw/T2fhI4mExG2+f+gVzup8yf/1FyuVuQ8mlL+y8wZ87soP3ZuO4zcfaJ\nNqV0yGROobd3AXPnvqlSs4ukmVfGKSQOWDKZqPuyegYvUS8NzCAzZpnut2jfXojrrjF4pJXfSjKZ\nhwhfhnbYjPWT8kt6RdlWczZupVaDabotLbd4PVt/DIZbJdj6oxS3ar9/HR1Z/umfDq9/AHNQmqw0\nPxYIIXYHZgI/MIqPBe4M/v4R8MlqqTWEegFUpLG7714ZicFQCrVys7TZfIZtxGsnw+qp/w/G88ID\nAs3NdVfGMtouxvOmxto/hJ6eBUH7CwIX2/JtUvTMmoXnzSqWUVxFBjz8ZKoh5SYrI/VC9UklRK+D\n8oea0b69PojHoHmkkZ9pP30NGzYswfcPxhZy0TbppGkj7XVD0YPark0T+7aUyVgtuaUNHhVH2u/f\nli157r57BV/60odw3Tqv74ZmMnYtMAflIooQYgywUYZBnl9DpT+pCg2ROeKmm57ha1/7LYWCz7Zt\nhYiuydzaxE1/4raH8aj1pp4pfh/9N6zEddfieWOLOkBlQzoaFX5RBGXbgPeQMk9oY9qK44zC9x2j\nzMdxOvD9P5LL/Sxwg72B9ev/HimnBitXgZStKFfj3+O6S/C8Q4FZ6HCPamXto9xs+wltdrNIuRew\nS9hHzlpwC0hnT4TjIH0B/iYcbw2+/05RBw0tOM54fP8DQVkB+AOOsxzf30aYoUEiRBtaBeE4Et/3\nImVCDCDlevRqXF3TGvSpDlCzInDH3QeYYvSRh+MUYhOLF5GV6z5Ed/esiOv0n/70Er29SldrGxOl\n7GKHMo7Kja1S964/t1B3bONRjvtwc+vqamHUqBbuvPN0PvKRsVRCzdyAv5VyXrss2p4Q4mTgJCnl\nl4UQ04CLgb8HnpJKz6ZXwgullAdVw68hVrpXX/0UmzdH1/rldFhgN9spFykpfp9wO2cGOlHH/koG\nfcBmpBwFFFAvORcVYYzgbyc49NJ51XRoygGUi+tZQY6wc1B+JD7Qjs5eq/TwWdQp//ZAazB5bUWZ\nWUmUfrkVKZVZgtIzvwW8jbIkeBPp9ytVKsuQmROCdBLgszfwDlKuQimwtuL7N+K6q4JV90TUynn3\n4J7voF/myq5Ym7EVgrKtwUsjj87Kq8o7A44usATXfQnPGwNMJJ/XfbsZlX5H9xEo3a9efUflp+2n\nQQWD/973vsfKlSuLHmalXpxxXe5Qx5GtLH7PUmMrLY+hcwsrlNKvjhS3vr4B+voG+MlPXkw16dYM\npTbMryyCVxeVu/IoYJYQYibqcGYUcB0wWgjhBKvd3YHXq6XWMDrdWqLS4UipOq2UK6sAACAASURB\nVGqVaX4gUeZc5l5FoCZKJ1Yvvp/xEeJDeN55mBkTVEAc3cbvyeWuZf78SeRylwEPAQLlVGCO4Btp\nafksQnwBeKx4f3gF0z4WtkHB/J+Aq76XinY2f/6h5HJXAU8Z9VxLnySjq6kXQlwZ1oqaoJeQy93F\n/PnHxw4mgWLeH2JlyRWJ4jExiMvwI/r6trJy5cpABRT/4q6MOUiU1/8OFdWPreHn0cjc6o5SOtxd\np8HU74Q/MUgpvyml3ENKOQ74HPCIlPJs4FHgM0G1zwO/qpZaQ0y648ePobMzW/zfjEgflpEoi3vJ\naJhbKRuUYXm0TCVMjF6n2tqGENpuFhxHnf6bbSa5dSLEB5GyvejBplaso1GOEQ4gcd3njIO0L+O6\nTyHEFpQDgQ73dQM77vgrLrvsS+Ry62hv/zbwKI6zBcjhOB9ATayFwNvrLoTowXUvBn6GEM8D7+A4\n/bju0qKeWWVzeA41Eb4LvIuK/bsc172XZOwiiRB5osHCtRfeWwjxdqDHvrB4MJnNhsFoVB8Vgvrq\nR6szSstvIp53Ops2zTCC4kQ9zOKHodE2teVJXKbpxpbemse5VYItHkX8sGzwYzxaZhvj1Y37WnAr\nzUMIaG936x/wpvaZI74OXCyEeAmVd/uH1VJrCPXCwoVn8otfLOeCC37NunWbsUWkt5nplDvJ1fpD\nm3981O9fqwbURKiKV+C6r1Ao7AnsH2yBfdQWWiTaNs3BYEeEGIU+oJLyD7juSjzvEOCjgLIiKBTW\n4XnQ3f1dli9fzsKFv8XzvkIms7V4iCeERzb7JJdccknxQO7mm2/mr399Bt8/DBCoKGdZYEPAaQlj\nxtwVOGxcSm/vGcDhQB7P24OenusBfbj1KeBVwqy6y8jlHogEFYcDg37bWtRvh88ajlop83jejpGD\nyXz+Yxb5+cY1aeWng+KE9rH6MCd+GGq2qVfR0S2yjPyOyi/Jg8B5wyyzZabWn8fTSalr1D0qHaqF\nW3rbGI/fs9QYTzfu47D1US2+fx/5yO5cc80MPvzh3a3tDhtq4BwhpXyMYGsZxJr58NDv2iCTbibj\n8NnPHsjmzXkuuOCBhH7XRHxgQ9JQXZUlB06o5zXL1EFQWLaCXO6RWNSx/VGrW0FcPxaffDOZFgoF\n/ep/mjFjdPDyBfT2CuDoYFJdTC73DHPmfIOenmvo7T0SmBaxmpBSMjBwKFdddRUAV111FX19mykU\nsrEB7xW5uO7qmMPG43je4QG3g+ntLQROHJ8EDkKIrcVnTzp7PIDnHWj9EsIKstlXyOeVHlVhIhs2\nRJ0V4hiK/HTfR0/Pk1kfoHJmELv8pIVbaSsC29iKZ3NQq8vSPDTi7sXJ/rD1m0zcP+24V22mi2Rm\nYjDy6+zM8tOfnsYee4wueb9hQ9MjLR1Wr15PPl95zW83uSk9UMpjJZnMa3ieWtW67iuJqGOet3/Q\nRrzN8txcd1nMbOx5PO/o4LO4SdnjeNaB8kXefhu+9a1rgPc444zPsXDhw/T27o/S+UehHTYAenpu\nwPPOiHGLmriZ/eZ542Ir4dDMK4oV5HKPxl5M2qJgAp43ocR1Jo8ohmZFky7rQxqTsTTmXINBtW3Y\n+qP23NK1kY5HsmzbtgKvvvruyEy678fQjrXE4sWvcf7597N8+dt4np8wYYmfuJqmMjoKvq0s1Mup\nG5iDRemyVjFmTDSWbqGwV8x299hgFeIBBZRbr7aBFQY3vYJ6D2jDcQSedyA9PTcE91pAofCl4DqJ\n500xPrsBz/scQryDlKMRQhh6uwJS/gO+n2f+/DD7xDe+cQ+OsxTPm4xSH2RQJmYH09srmTfvEfL5\nz+I4hwUrKD/oIx/HcYI+kyi1SgHHcYDJ9PbKYIU7A8c5sNhvoVkYuO6rkRfTvHn3UCjsn/gyDrf8\nKIbbDK0XHCfJo5z7azlutpVhOW7mPc3sCeXuWc5MK87d1kcmNwiDp4dlpbmZHOJlNj7JPqIoO7tM\nJccffxunnjqRa66Zwa67jqJu2Fa5ykihIex0x49fwOrVG4aVB8XExWpwgo/r/ob582cZebzuw/NO\nRmWSWIPn7QWMI3rK7qLMu/SBGFB00W1Bm1mFfy/CdVfjefuggsmMAoJc6DyD6y4LYhNMCa7LArsQ\nHnBJQsuAW5kz5wK6u6+gtbWFOXO+Qk/PDfT2noPW28JGwoA5oA7wWghzk4EKrtNKNKcbhNYa+ll1\nLIUBo46DWumaaXbsqoT6oHT6niYaA5mMYPbsD3PttaV2TiFqZqd7Rsp57af1T9fTECvdSpkiyiGu\nbwObXkogRMaoJ8hkXDwvuqr1/RNRk96BeN6Bwf37YlsnDzWJmXLSacJfCGxUxwOTcZyt+P4kPG9S\nUG8jmYzp7fYhPG8K0UktTyazztALg1qJ7kNv76nMnfswsBfz5n3WUE38Hs87IuD+bPDC2Bs4EOWo\nsDHWR1vJZGTM684jk/FimRXykYMv1beSQmFCsCK+J8jcYA8skwbp5Jesp1eN5TJFlLp/WlSj8yxV\np/rMJun7qFbZgGvNrVCQeF6do4o31Qvl0dXVQjbrkM8PXvK2E9TkF1Z7X4Ur3UKhgBDjg8njXjzv\nGGBvhNiKMuIXaAeF5MBah1otdhbrwbPkcvcZJ/8ZfP9Q1Kp2AGhFiF0pFNpQjhf5oPw9tGWEmryz\nFApdAecgqyTb8P0tCDEJz5O4bi/d3VcAWvd6dlDvUXK5XwerPm19cABStgYcdaQySaGwldDeWAVb\nj/abclywHSKpslCPajuU0rKoNOGlk1+ynt4yl3Pltt0/LWwHYDZuNsQzK5h8h7OPbJkxSsvP5Fad\n/EpdE+fR2pqpf/yFZuaI8li48EzOOmsyLS1qa651UWbwDf131HYwaYdp2gdGIVGS0JOPVhmMx/OO\nR4jxKNtRDzVR9uE420q06eE4fUAvsBXHKeC6fzZsVC8km10NZBFiNLAPsD9CqHi4QuwAbAJ6ESKP\nyi6xBdg++MxFTYjtwEZ0dDP4I7nc3cyf/1laW1v4xjd+zPr1JwE7Ai+Rzb6YCDKTyShzOJX1IRP0\njXp2lc1hK0qlYL7w7EaMtr4Ny0z7zVW47kMIsapYNnT5lYJyopg3T9nxOk64ytX2o+Y4stugJsv0\n81RyJlD6UBt/UbYsfPbyPMJ+s7WR5FYOaeVXnkf5PjLbEAJGjWrh29/+GPPm/d3gyA4VzcwR5TF2\n7GhuueVUJk/eiblzHy0GvYlvUUCtGMLYpvrwKnzrlovqH0dYvpJMRh3E+H6YxFDfX7dtlim71rYi\nJ98fF7EayOfPCNoQCNGJlI7BTaAmXfMwxAFaiNoBe8HhmKqUyfzZYtI1CRW/VpLP7xFb9Z0Ihout\niqGQxubSXh6aHqnf5krHjE88Zoyp75XAxGGWX+hubOboKi+/8KZmWTlu8YMkG7dkfyTLbDzMlbUZ\n+zbst2i82sH3UTr52frN/Hsw8mttzfDMM19k4sQd7eSGE02TsXRoa8tG3qSDQfW6O1s24HQHMdE2\nJ9PbC/PmPRZMuIdXQ6YsKpt07R/YrN5LoTAdpdMtj6HoPG3XZrOvltWx1ovHcF43VAx2hWpcCTG3\n6Vr3W7XcbPdyHEFLywhNMU2dbnls3NhPT8+TXHvtU2zdWii+SU2FvD3rQ2i2kywrp6sKPXPiBzEq\n68DESFvhCiPkpD5TGRO000QmM4V8/kNAl8FDBy1vJ9ze+0jZjhBbDG4StbI1HR8yKO8i/SyhSZc6\n9Dsg+EwY/bA/Uk5CecSF3HS9ZL/5mIeCcZMqE/E+NY3iddnAgF3HWlv5JVdwcR7p5KfHVtL5wMYt\nTR+V42auXkMeqsysFx33SeeDarmVk5/+bfZN5awr5eXX3+9x5JE/5Iorjuess6bUN7xj02SsfBtH\nHPF9li1bV1QrxL94ZlnUrlFPngKtnja34yEHfY0pdH1IFF3prl9/LCpim4M+7FJpc9ThmgppmEeF\nMWxD6Uv1QYmPjkYmxHaoRJIbUIdloxBiv+BQ623CAzQvaKsLpcdVP8py4C3MpGeO4wcTuI9Kl+MG\nZQMl+kjgOFlUTIVQiaU+l0H7+suirTvCsmjf2fozRPQEXNnNFgrxFEhx+aW7d6nVXGUeybJyPKrh\nVgqVuKUd45WepxK3auSX/vuX7t7t7S5z5hzJv/7rMUmCCb41Mhn7SEpBPfU3ajK2fv2WSPDyuO7J\nLIuuInSuLrNMBGZZMlIWNRkjqONjupH6/gyknBxWogUhWmI8WoFOTDmpt7xn3N9DSpWKPFyJbELK\n5WQyowNTLYFa+bajLBfCa5XJmBktzMdxtmEGm1FhIb0KfSTx/QHL6ssPTL/MPioYK6zQ2UBPmmG/\n2c25opNA0kOslD7UtjKMtxHWK+8EkYZbOb1sqRVqOW42pDEZSzvGbat9m0uwjZttAkxjMpb++5dO\nfv39Hhs2xKPfDTMaWL3QENYLdj1uOmrKFEwLWALS8qVIphIJJz5Qk8R0whTq5v3jJT5q9Wme7uvc\nYObMk8X3O2PP4VAohDnF1O/3UI4L+lo/qBNhgR9f2hStMWSZMrWaTddHFCfccqES65FZwd5GlJfv\nr0h5XfXcbHa1aU3G0twrLdL2kc1kLB23qqmlbqPas5qqUfsoYzVDQ6x0b7ppJv/4j/exfv0W+vul\n8XZ3UOZN9mwSCsoGV5mv6JxielWhVpNRl1EFx1HeVmrAvYTjPE8m45DPH0YYWctsS4c21JLKo2Lj\nmvasBYRoRaU711HGOlCTtM4pVgh0wR7Qb3DbgPJWyxtlfqBmKBR5qNV9vE21LQufT/eH4q2uC/tI\nqUmiXzblvrmSbPZJq47brKf7Ld5HNl2s+ZldftGVbDa7Fs/bA5X/L2wzk0nq3uOux6Zbarm2NLRZ\nk42vrb7dHTldWal+0L/j8ijVR+bnpVx+K5cNj/xCbqF+va3N5YgjdmP27JoE6EqPpvVCecyYsS9r\n1lzI7NkP8J//+Ud83y8O9lKhAONvWFvIPj3x6SwFJsKBuJJRo+6nq6uViy66iJ6ea4shDaPtJF+N\nOi16tF4H0bxjAr2ijvLYYinbhppsi3dFymW47hJ830c5W0xAr4rNLZ8tl5oqsqkKkmEGfX8Fudxj\nnHzy9GJUs2SoxOgXOM1WvZTMktyIWZFItBWJMk+yhXCMyzR6T1tG4EgPyco8Sz37YMts94zKL319\n2+fVcBu6/Ep9pv5xHMEdd5zGKaeUD4A0LGjgSbch1AugBHTEEbvR2ppJVTdNGdjKonDdVzj00Mlc\ndJF2KvgKrrvGer9kNuA03JaQzd4NvFiRSxJ/Ipd7mPnzz2Xnnd9h1Kj7gZUluNl4RLfkjrOq5HXa\niuPWW29l5syZfOtbN1WMY6CdIEwVRJptpI1bNru0uJI9+eTptLQ8SVS1oTNJ3JPgFT77w4wa9QBn\nnbWvVTUS55ZOfvZ6aZG2jXggcFudeKbeUvdPi/Tfo+qua2tzOeigXaojN1QMIRvwcKMhJl0pJY88\nsobu7t9ZYukmhaldGYs1ROhmqaEGcTRNuP7cHOCetyfPP/8i1113HVdeeSU9PdfieXsn2oDkysGu\nz/KM61T6mu7u6eRyC9ETr1Yf2Lx7TG7Z7BrmzPkK//zP/8xFF13EoYdOIZt9NZXuslCQZLPRrAqO\n82qsj0JTM+1Oe+WVV7Jw4W/I549CT2zRflsZTLQPM2bMoojuV4hyOs+VxQnaxq1Q8OnpuY7zzjuP\n+++/n8suO59c7jFMrzYhJuJ5J+A4+xvPoLe3q8jlVjFv3jd59NFHOfnk6ZEsErpPyvWZrhMfW3rb\nbbap+8+sZ35mXhu/Xxq9anw86+vs3MJCu3ednVupNiqh1Pcvfn8dH/vll4c7mJUF21L+jACGpF4Q\nQpyIStrmAD+UUl5RzX3OPPNO7r33peKEq0y0dDhBP2grHGC+L2PbxmSoOzVZFwhNyjQKhJHAQIjx\nbNpUYMuWpcydezuedxIwHtiKEMpDTOtOFbfkiXLILYPvbwvKWy0BxR8MAuko+94oX3OFrz5QHmbX\nACo5Y1/fVvL5TwCjUMF08iV4KI5mckdbXIJia1Jt5ZVzxz3k8x9DiOSWUMpVRRVAd/flzJnzTasT\nRNxm1uaAEufm+x+jtxd++tNHueyyS2I65TiX5BZZhZv8avG67u7L8byZkX6pLL/SY8t22FTJFDK8\nf2gXHvJIhn6Myy+qR02O8bDM5GFTsxWvMD6vllu6PtJlCxeu5sEH/8y///tMzjvvkLL9VVM0sHqh\n6klXqCyONwLHoTJjPiuE+JWUctCZARcv/mtkhasOmuw6pDS6K203q65L6oR9vxAbxBMoFCag8p9B\nmLFW6VhtqV2S3FoDe9hlQZSvPfG8XGzSm4bjbC5aIqjrVJAbbYKmDNa34ft5YB96e49h7twfIeUY\nCoWp6BCQKk3PhhJ9pEvsWRWSfQSwMkiXXjqjbiYTepstX76cnp6rjWfTE/pKHGctvh/qkO2RwE6w\nchsYoGT6HfP59CSgy6KT+NVs2jQFpf+OyqqcC63N0aBcbN5SfR83wbIFu4n2ffIeg+EWf6GUez4b\ntzjKcxvc98/zfDzP57nn3qjvpFul6iBIr34bKr5qAfi+lPIGoYKi3AHsCfwFOF1K+W5VbVTrHCGE\nmAp8W0p5UvD/1wEZX+2mcY4YN+561qx5pyoeNqQJVWc37HaCya+cXksGP/F6LrCKXO7BINKYju2K\ncbAzKVjFm+QyRGPzqhTsyg7XxCu47itBXN7JAYeN5R+yDKLPnzYm7cOMGrWUT33qVBYu/A29vfvi\nun7x0Kr0fQYX81aIMBZGqXo2+cUP0YYKWxvVj63SB3S14pamjVrzsMHWR1/+8hEsWDCz4rU1c47Y\nIeVDboy2J4TYBdhFSrlECNEFPAd8AvgCsF5KeaUQ4mvADlLKr1fDbyg63d0AU2n2WlA2aJx77kG0\nt7u4blIPZSKuR4r/rXVKZjZStXpVP3olq3WZ+m99D7UqLqBSoMd1uhJtwaA+N439PITYiuu+FMmG\n67prAz3kHmSzbwBr8P0WHKeNUKdbALbhOAOo6GUDAbfVZLO/BVYBq8nlfs38+TPI5e5DjQP7Sypt\nH5m6xrh+1XXXWvSE5oT7AL29+wLHUSicgJ7g4pl5XVcPj2gkMJ3R184tOuGW0lfa5KfsrU9AiKgu\nulwflfvc7KPQ/Mqu0w25UWJsJdtOO8a1SZm+fylupn63VDS3OI9K46USN/Nv2/evoyPLdtu18vGP\nj0/ecDhRZZQxKeWbUsolwd99wApgd9TE+6Og2o+AU6ulNpRJ1zZ0q3qHfuc701i16sscffSekQEE\nUeGWekOXNm+JeqGVizCVNHmJOlTocIjRuhKdRlxKIodRass9FmXUv4ju7pnkcg8Cf0LFQIjq4pT9\nr05xrpJjdnefQi63CNddEpvMXsbsavNLOfg+CrfmJu9oH62IHVKdRDbrJ+5ne/5QfhPJ58MJ2sbN\n95OOGdE+WoHrPhRxjCi3FY7KL/l5vNyG8F42FVNyHNm27pVkUkl+phrF/pw2HpXGeOn2BsOt1L30\nS+GrX53K669fzIwZ+9ovHi7UILSjEGIv4GDgaWBnqfzykVK+iYqnWhWGcpD2GrCH8f/uKN1uAt/5\nzneKf0+bNo1p06Yl6owdO5rPf/4gnn02qt+1CTp9ZP6kJ5oNti2Xzc0y3kbyumQ2XNd9KKbPfKCY\nlaIUt3hyzG9849bYodO0SH1z1VOKf6ky9Qyldb+Kz9rEIVU+f5Klz5PPX15+UbdexymXBaJ0NLi0\n8qvWTbbUlryasWXjoQ/PzHpps1YMRV2Qxs15KN+/jo4sX/ziYXR2lg5gvmjRIhYtWlTdA5TDEM3B\nAtXCL4ALpZR9Qq+uaoCh6HQzqL3vccAbwDPAGVLKFbF6FXW6ABs29HPeeXdz//2rU5mtpEOG6IJc\nqwgqQRC1JgAVZMavYoCbk8X19PbOQDlelPNFj6eBPxYg0OnugRDjU+nzaqe/M5/hanp7J6DEnkT6\nNm163riDRPgCcN2HYvns1GHcYFAPfWa1qIceuFoeQ7lXT890LrjgQ2Szle3v1TU10umW3HQvCn40\n/jXRnhDCBe4DHpBSXh+UrQCmSSnfCvS+j0op96cKDCnKWGAydj2hydi/WepUnHSvv/5pvvnNRygU\nfAYG7C6/ZhnYTX/MMn2NOrgyy7zY58mwdErwoDLsmm2rGAbleQh0yMTwPn8mm32VfH5vhNCr3AKO\n4xUP1ZLcV5DNvhJYExxg8NCph6rto9JZam26zLCPVkSsG2zmRDYepbhlsw/R3R2dRH3/BHw/akUR\nysd+GGeXn51bvCzNOCo/tkJ1gu3ztDyGX37puJWKKpaeW7Kdrq4snZ0t3Hnn6Rx1lLkxtmP4J91E\nbdukexvQK6W82Ci7AtggpbxiqAdpDRHasdbWC/a3tdKjlqtjvy6ugSm1Wtb517T8dGQz1yiLn+xK\nkoFyIAwRWZr/UDHyp9+lLRpKtxGqI2zJMGu9MrTdr1rrhVpj5OU3uDbqbr1Q5aQrhDgK+B3Kk0kG\nP99E7eR/DowFXgU+I6WsatJqiNgLtYZ9YFXWhZmG4mXuXqY8/pkbK5Ox/4W1XK1m49ySZUPByH9p\nS+uRS7eRDBk5PNyGhnqoCmopv3pw+98CKeXvSeoWNY6vRRsN4QY8cWKOrq5s8X+72QuJsrjJjIa5\nxTFhmslEVysCx2nD9zsRohP9LtImZuG9JI6j1QFxHoXgM73VVdl8HSePWskOAJvx/U0Isc0oG0Ct\nnH203thmbB4/LIuaSlXuI9NvXz9/3N/f7Ddb/9kDatt4pJVf0q03zsOEya3UCtS8Tj9zJW62cWRu\nudNwM6+zBR1vBPnZuYmS3NJ//8rz6OjIjkCetMYNvtAQk+59953JLbecyi67dAIUV5tRsxcin0W/\neGGZRhjLIDlIoplaHVQq9Sxqq+GggoqHmwDVjrLN1dt+e7QmtRuJcisAmwM7XBlwyhtlmoeadB0n\nqgIxET0Fl4kymymT/tOWKFGvru0xIJL9Fl2NF1soya0+8otyi/LAUpbkZuNhWw1qDGbiNhG95+Dk\nZ9NHl5NfpWzEtZVf/J5hW0cdNZbHHjuP888/gvqicdMBN4ROV+OWW15g9uwHLEFvokhvMpYGDkJ0\nEFUjFchk8rE21IRY3mQMMhk3CJCOUa9Atf1sb6Oy6dDgTMaqopbarCmO2sovfR/V2mSsltziu4iR\nMBkr1UYcaeXX2Zll+fLz2WOP0ak51U6nm9ZDd/SQ2xssGkanK6VkxYpe8vnKJl32eKXVvzxsl6YJ\ncGK/Lq63HQ5ule83lDivaWF7rmq51aOP0kSJq30fVddG2r5tFPnZyrZtK7BmzcZBTbq1Q53TAw0C\nDaFeeOqptRx66H9w443P4HnJ7bUQpXWMGqb5TFyv5ThhGEVTD6XKfIRQUb+E0PcUxC0d9EFZ/N5x\nbmYA5/jWV/EYDLdoO5Vivdp0nia/wfdRsqwUj7heL37N8Mmv+j6ycbPxCPnWT35puUV5VOY2XPIL\ny0JuUkpmzPgvTjvt5/z1r+8lKw8rGlen2xDqhfHjF7B6dS1jbgpCEy5JeoeIFpTu1hSG6WAhgx+b\nzZDZZqW6TTTxtwPHEVxwwYe59toZFevWTr2wJmXtveuuXmiIla7nVT8xJd/AgkzGNNVSk2G8XjIK\nvySTGSD+9otmi9ATqw1x7zcih2Kl27XcyVInTUT/UrCtUmxtxMvSXlfuNL8Sqm1jpDIrvB/lZ1ux\npkWaNnxf4nn1zgLZuCvdhph0R41qJZtNUqn0hbGfoMogm64231KrzXg9W2YIW5nyYIveyw6PMBOv\nxGb6JUR1kfkhjMlaDWynzLYDmWoyK+h6Nm7VyS9dVl9bfwyGWyUIYY9hW2v5peE23PKrZKJXCmnl\n19qaYdSo1vI3qzka13qhISbd++8/k89//mBaWpRNss0kR789S4XTi8MMv5hmYMd1ZOb9dUZiZYsr\nI3yi3Ei0WWkwx/Vl5cx7zDLNzc7D1ke2+yW5VeIaLysX5tDGt5L8bG0MVX62Niv1W2h6RYWyocmv\n0hi3c0s+aylU6sfyYSrT9VEp+QkB223XwmWXHcu8eX9XmWxN0bgr3YbQ6Wpce+3TzJ37MP395d9A\nNvMU21t3KLC1UTnKWO25VduG3ZGhsgvrcHCLo1HkVw9uf8vya23N8Mc//hMTJuQGwalWOt2nU9ae\n+rdrMgbQ0pLUvdYDtf7CDzfS9ZGAhP+5rWxoPMoZyNcL1cpvpORefR81rvzs9xK47khtphs3SVpD\nqBfWr9/C1772EJdc8hBbtngVt4X6LWtujUwTKfMzG2x6v7hpjconFd0++b6MbLNMEx79O+SWrGcz\nCSrFLTS7SW73CgWZ2O7F69n6yPRKMz8r176JuEmSckWN9pGNm/n38Mkvzm3w8otyGzn5KR7Rfmh0\n+ZnRyfRnW7d6HHnkD/nBD55PZX9fWzTVC2XrHH74f7Js2Tq2bUuGLIy7P9rKou2lKwu4BW6/oA/J\n7Fsue8i72vGo/vpKfWTbkg43t/rJL13d4ZSfObk2Grdqr6+1/NrbXS655EguvfSYJMEE31qpFx5K\nWfuEv02TsQ0b+osTLoRCM4VXqsy26ombrNjqZTIuUmozLwE4ZDKOdRDZsrPauMXbjJsJ2bjZrs9k\nkhkvzBVXqWtt3Gwn06X6yGZylIZbvF495Gfrj1LchlN+Ug5Nfmm4Dbf84lkrai2//n6PjRvr7SHW\nuCvdhtDpDsWG0YY0i3edB81EPdws03FLd6/0PKovqyWPtEi3YkvXt0351ea6wcD24qv1d7wymjrd\nsvje9z7OuHE70NXVQkdHltGjWznnnCnsuGMHnZ1Zurqy7LxzJ2efPZnttmuloyNLV1cL48Ztz+mn\nH0BHR5a2tgydnVkOPnhnTjllPG1tLi0tGdrbXT760bEcd9y4Yllbm8v0OtCGfgAACEdJREFU6eOY\nOnU3OjqytLaqeqeeuj+TJu1IZ2eWtjaXzs4sZ5xxIGPHbkdXVwudnVl22KGNc8+dwpgx7QG3Fnbd\ntYuzzppMV1cL7e3qugkTxvDpT+9Pe7tLa2uGjo4shx/+QWbO3DfC7Zhj9uKYY/aivT3kNnPmfhx2\n2Acj3E47bX/Gjx9DV1eW9naXrq4WzjprMrvu2lXklst1cM45U9h++7Yit7Fjt+Nznzsg8kwHHLAj\np546gba2kNvUqbsxffo+EW7HH783H/3oHhFup5wygYMO2jm4n7r2M5+ZxLhx2xflt912rZx99mR2\n2qmTrq4Wurpa2GmnTs45Z0pEfnvvvT2nnz4pIr+DDkrK7+ijlfxMHtOn78PUqbvT0aGeoa3N5dRT\nJ1jlt8ceo4t9tP32Sn65XDi2PvjBLs4668Ci/Lq6sowf/wFOO21SRH6HHZaU37Rpe3HssUn5HX74\nrhH5ffrT5eSXpbMzy5gx7Zx77kER+e2++yjOPPPAyDNNmpTjE59Iym/GjKj8jjvOJr/9LPI7IPL9\ni8ovW5Tf2WdPZvTouPz0909xmzJlp4T8jj12by68cGqdZ5XGXekipRzWH9VEZRQKvrzzzuXyxhsX\ny82bB6SUUg4MePKWW16Qt976ghwY8KSUUvb1bZMLFiyWd921QhYKvpRSyvXrt8grr3xCPvromuL9\n1q59V3Z3PyZfeOGNYtny5evkpZcuki+/vL5Y9vTTr8nLL39CvvHGJimllL7vywcffFleffWT8p13\n+qWUUnpeQd5xxzJ5883Pyv7+vJRSyq1b8/I//uMP8vbbl0rPK0gppXzvva3yuuuekvfdt0r6vuL2\n1lt98rvffVw+8cQrxTbXrNkoL7vsMfnii28Vy5YufVNedtljcs2ajcWyxx9/RX73u4/Ldev6itzu\nvXeVvO66p+R7722VUkqZzxfk7bcvld///nNy61bFbcuWAXnzzc/Kn/98WbGPNm7sl1dd9Xv54IMv\nF7m9/vp7cv7838nFi18rtrl69Xp56aWL5IoVbxfLnn/+ddnd/Zhcu/bdYtmjj66RV175hFy/fktR\nfr/85XK5YEFSfrfcEspv8+YBuWDBYvnLXy5PJb/nn3+9WLZixdvy0ksXydWrQ/ktXvyanD//d2Xl\nVyj48uc/T8rv+99/Tt5++1KZz0fld++9ofzWrVPye/zxUH5/+YuS39KlbxbLXnzxrYT8nngiKb/7\n7qssv/7+vLz55mflHXcsK46td97pl1df/WREfm+8sUlefnlUfi+/rOS3fPm6YtkLL7yRSn533bVC\nLliwWPb1bSvK79Zbk/K78Ua7/B555L+L3F57TcnvuedC+aVBMF8Mec6B/0r5M/T2BvvTEAdpTTTR\nRBNQy4O0W1LW/sKQ2xssGkKn20QTTTRRWzR1uk000UQTdUT1Ol0hxIlCiJVCiJeCzL81RV0m3UWL\nFtWjmZqhyXf48L+JKzT5DjeGj291AW+Eyt91IzADOAA4QwhROhtqFWhOuhY0+Q4f/jdxhSbf4cbw\n8a16pfshYLWU8hUpZR74GfCJWjJr6nSbaKKJ9yGq1unuBqw1/n8NNRHXDM1Jt4kmmngfomoPOJsl\nQ03Nr+piMjasDTTRRBPvK9TAZOwvwJ4pq78lpdzFuHYq8B0p5YnB/19XlOQVQ+EU4de0oW2iiSaa\nUBBCZIBVwHHAG8AzwBlSyhW1aqOpXmiiiSaaCCClLAghvgz8BmVo8MNaTrjQXOk20UQTTdQVdXOO\nEEJ8WwjxmhDi+eDnxHq1nRbDbRRdawgh/iKE+KMQ4gUhxDMjzScOIcQPhRBvCSGWGmU7CCF+I4RY\nJYR4UAgxeiQ5mijBtyHHrRBidyHEI0KI5UKIF4UQFwTlDdm/Fr6zg/KG7N/hRN1WukKIbwObpJTX\n1KXBQSIwin4Jpct5HXgW+JyUcuWIEisDIcR/A4dJKTeONBcbhBBHA33AbVLKKUHZFcB6KeWVwYtt\nBynl10eSp0YJvg05boUQuwC7SCmXCCG6gOdQ9qRfoAH7twzfz9KA/TucqLcbcL2Dag4Gw24UPQxQ\n0dcbFFLKJ4D4C+ETwI+Cv38EnFpXUmVQgi804LiVUr4ppVwS/N0HrAB2p0H7twTf3YKPG65/hxP1\n/sKeL4RYIoT4QaNsewzYjKJ3K1G3USCBB4UQzwoh/s9Ik0mJnaSUb4H6IgI7jjCfNGjkcYsQYi/g\nYFQK3J0bvX8NvouDoobu31qjppOuEOIhIcRS4+fF4PcpwM3APlLKg4E3gUbbTgy7UfQw4Egp5eHA\nTNTAPXqkCb0P0dDjNtiq/wK4MFhBNvSYtfBt6P4dDtTUZExKeULKqt8H7q1l2zXAa8Aexv+7o3S7\nDYtgJYOU8m0hxF0oFckTI8uqIt4SQuwspXwr0POtG2lC5SClfNv4t6HGrRDCRU1gP5ZS/ioobtj+\ntfFt5P4dLtTTemEX499PAcvq1XZKPAvsK4TYUwjRAnwOuGeEOZWEEKIjWDUghOgEptN4fQph5k+N\ne4Dzgr8/D/wqfsEII8K3wcft/wOWSymvN8oauX8TfBu8f4cF9bReuA2lx/GBvwD/V+ueGgWBucr1\nhEbR/zbClEpCCLE3cBdqO+kCtzcaXyHET4BpwBjgLeDbwN3A/wfGAq8Cn5FSvjNSHE2U4HsMDThu\nhRBHAb8DXkSNAQl8E+VB9XMarH/L8D2TBuzf4UTTOaKJJppooo5oWHOjJppooon3I5qTbhNNNNFE\nHdGcdJtoookm6ojmpNtEE000UUc0J90mmmiiiTqiOek20UQTTdQRzUm3iSaaaKKOaE66TTTRRBN1\nxP8AX+9G3FQlEGoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11107bfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.hexbin(points2.m1, points2.m2, gridsize=50)\n",
    "plt.colorbar()\n",
    "plt.scatter(noise2.m1[:200], noise2.m2[:200], c='w', s=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
